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Finding the Fourth Proportional to 3,737.56, 5,616.60 and 3,493.76

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Solution

The fourth proportional to 3,737.56, 5,616.60 and 3,493.76 is: 5,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.56 : 5,616.60 = 3,493.76 : x
  2. Step 2: Convert to fraction form
    3,737.56/5,616.60 = 3,493.76/x
  3. Step 3: Cross multiply
    3,737.56x = 5,616.60 × 3,493.76
  4. Step 4: Simplify right side
    3,737.56x = 19,623,052.42
  5. Step 5: Solve for x
    x = 19,623,052.42/3,737.56
  6. Step 6: Final answer
    x = 5,250.23

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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.