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Finding the Fourth Proportional to 3,737.31, 5,604.14 and 2,177.86

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Solution

The fourth proportional to 3,737.31, 5,604.14 and 2,177.86 is: 3,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.31 : 5,604.14 = 2,177.86 : x
  2. Step 2: Convert to fraction form
    3,737.31/5,604.14 = 2,177.86/x
  3. Step 3: Cross multiply
    3,737.31x = 5,604.14 × 2,177.86
  4. Step 4: Simplify right side
    3,737.31x = 12,205,032.34
  5. Step 5: Solve for x
    x = 12,205,032.34/3,737.31
  6. Step 6: Final answer
    x = 3,265.73

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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.