President Donald Trump and Congressional Republicans’ federal funding cuts have sliced roughly $3.7 billion away from Massachusetts and impacted at least four different fiscal years, a sum that is likely to reshape spending strategies on Beacon Hill, data updated Tuesday by Gov. Maura Healey’s office showed.

Massachusetts relies on billions in federal funding to pay for programs, major construction projects, and health care for residents.

Beacon Hill Democrats have made clear over the summer that they are scrambling to find solutions to make up for the loss of critical cash even as state spending has increased over the years.

“There is no way that any state can make up for the billions of dollars they are cutting from our budgets. Here in Massachusetts, we are doing everything we can to

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