Schutt bowled an incredible 10 overs straight at the Brisbane venue to snare 4-16 to restrict Bangladesh to 172 all out after they were asked to bat first in the third and final ODI.
The 33-year-old Schutt, who bowled 53 dot balls in her spell, took her series haul to 10 wickets at a miserly average of 7.1.
She now has 28 wickets in 14 ODIs at her favourite venue, the most of any bowler in history.
Schutt has made a habit of taking early wickets in this series and she was at it again when removing Murshida Khartun (one) courtesy of a slick catch by Georgia Wareham in the gully in the third over.
Sarmin Sultana (six) hooked Schutt straight down Alana King's throat and then in-form duo Nigar Sultana (three) and Sobhana Mostary (nine) both fell to the speedster.
Shramin Akhter (50) played a classy knock and enjoyed great support from 19-year-old allrounder Shorna Akter, whose 54 off 71 deliveries was her highest in ODIs.
Akter was dismissed by a brilliant stumping by wicketkeeper Beth Mooney in her 100th ODI match.
Earlier, opener Phoebe Litchfield was ruled out of the match with a low grade hip strain.
The star batter was replaced in the side by allrounder Nicola Carey.
Litchfield has been in elite form in the series, which Australia leads 2-0, with innings of 77 and 70.
During the latter knock on Sunday night she appeared to suffer the hip complaint and called for a trainer before continuing her innings. With the three-game series now won there was no need to take any risks in a dead rubber.
Litchfield will be monitored ahead of the three-game T20 series against New Zealand which starts in Sydney on Tuesday.
Veteran Mooney will move up and open the innings, with Carey slated to bat at No.8.
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