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Finding the Fourth Proportional to 3,737.00, 5,157.56 and 2,414.55

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Solution

The fourth proportional to 3,737.00, 5,157.56 and 2,414.55 is: 3,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.00 : 5,157.56 = 2,414.55 : x
  2. Step 2: Convert to fraction form
    3,737.00/5,157.56 = 2,414.55/x
  3. Step 3: Cross multiply
    3,737.00x = 5,157.56 × 2,414.55
  4. Step 4: Simplify right side
    3,737.00x = 12,453,174.43
  5. Step 5: Solve for x
    x = 12,453,174.43/3,737.00
  6. Step 6: Final answer
    x = 3,332.40

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Why These Related Problems?

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