Try the below - note array entry required

=SUM(SUMIFS('Data Table'!S$7:S$200,'Data Table'!$D$7:$D$200,{3050,3100,3150,3250,3300,3350,3360,3400},'Data Table'!$C$7:$C$200,TRANSPOSE({52510,52518,52519}),'Data Table'!$A$7:$A$200,"FNE"))
confirmed with CTRL + SHIFT + ENTER (enter alone will not suffice)