Q$3.(25\%)$ Use the time and location indices to estimate the cost of a building that contains $48,000$ sf of floor area. The building is to be constructed $3$ years from now in City $C.$ The cost of a similar type of $.$ building that contained $32,000$ sf was completed $2$ years ago in City B for a cost of $$3,680,000.$

$\backslash$table$[[$Time$,$Index,,Location,Index$],[4$ yrs ago,$3684,,$City A$,1,025],[3$ yrs ago,$3795,,$City B$,1,170],[2$ yrs ago,$3873,,$City C$,1,260],[1$ yr ago,$4148,,$City D$,1,105],[$Current year,$4362,,$City E$,1,240]]$