Kenya captain Steve Tikolo expressed disappointment that his farewell to international cricket ended in defeat.
Inclement weather ruined a potentially exciting fourth day between Derbyshire and Northamptonshire.
Northamptonshire have confirmed the signings of all-rounders Elton Chigumbura and Vishal Tripathi.
Zimbabwe claimed a 66-run win over Kenya in Nairobi on Sunday to open a 4-0 lead in the one-day series.
Zimbabwe racked up their highest ever one-day international total as they crushed Kenya by 151 runs in Mombasa.
An inspired all-round display from Elton Chigumbura helped Zimbabwe win the opening ODI against Kenya by 109 runs.
Elton Chigumbura scored 64 and took a crucial wicket as Zimbabwe beat Bangladesh by 38 runs.
Tri-Series in Australia 2015
Australia and New Zealand will co-host the 2015 Cricket World Cup from February - here's a taster of what's in store.
England's World Cup opponents will not relish the return of fit-again James Anderson, says Nick Knight.
Bob Willis says AB de Villiers could well be the best batsman of all time after blasting a record ODI ton off 31 balls.
As England fly off to Australia, Nasser Hussain explains why 2015 is a year to savour...
Benedict Bermange brings you the quirkiest stats of 2014, plus England's record for the year.
Sky Sports' cricket experts have picked their favourite hundreds from previous World Cups. Do you agree with their choices?