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Finding the Fourth Proportional to 3,732.53, 5,593.83 and 1,977.17

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Solution

The fourth proportional to 3,732.53, 5,593.83 and 1,977.17 is: 2,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.53 : 5,593.83 = 1,977.17 : x
  2. Step 2: Convert to fraction form
    3,732.53/5,593.83 = 1,977.17/x
  3. Step 3: Cross multiply
    3,732.53x = 5,593.83 × 1,977.17
  4. Step 4: Simplify right side
    3,732.53x = 11,059,952.86
  5. Step 5: Solve for x
    x = 11,059,952.86/3,732.53
  6. Step 6: Final answer
    x = 2,963.12

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Why These Related Problems?

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