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Finding the Fourth Proportional to 3,776.04, 5,649.28 and 2,537.52

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Solution

The fourth proportional to 3,776.04, 5,649.28 and 2,537.52 is: 3,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.04 : 5,649.28 = 2,537.52 : x
  2. Step 2: Convert to fraction form
    3,776.04/5,649.28 = 2,537.52/x
  3. Step 3: Cross multiply
    3,776.04x = 5,649.28 × 2,537.52
  4. Step 4: Simplify right side
    3,776.04x = 14,335,160.99
  5. Step 5: Solve for x
    x = 14,335,160.99/3,776.04
  6. Step 6: Final answer
    x = 3,796.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.