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Finding the Fourth Proportional to 3,619.49, 4,991.83 and 2,782.25

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Solution

The fourth proportional to 3,619.49, 4,991.83 and 2,782.25 is: 3,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.49 : 4,991.83 = 2,782.25 : x
  2. Step 2: Convert to fraction form
    3,619.49/4,991.83 = 2,782.25/x
  3. Step 3: Cross multiply
    3,619.49x = 4,991.83 × 2,782.25
  4. Step 4: Simplify right side
    3,619.49x = 13,888,505.82
  5. Step 5: Solve for x
    x = 13,888,505.82/3,619.49
  6. Step 6: Final answer
    x = 3,837.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.