A project with an initial cost of $$27,250$ is expected to generate cash flows of $$6,600,$ $$8,700,$ $$9,100,$ $$8,000,$ and $$7,400$ over each of the next five years, respectively. What is the project's payback period?

$3\mathrm{.}69$ years

$3\mathrm{.}36$ years

$3\mathrm{.}47$ years

$3\mathrm{.}57$ years

$3\mathrm{.}73$ years