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Finding the Fourth Proportional to 6,737.16, 10,105.90 and 3,808.20

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Solution

The fourth proportional to 6,737.16, 10,105.90 and 3,808.20 is: 5,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.16 : 10,105.90 = 3,808.20 : x
  2. Step 2: Convert to fraction form
    6,737.16/10,105.90 = 3,808.20/x
  3. Step 3: Cross multiply
    6,737.16x = 10,105.90 × 3,808.20
  4. Step 4: Simplify right side
    6,737.16x = 38,485,288.38
  5. Step 5: Solve for x
    x = 38,485,288.38/6,737.16
  6. Step 6: Final answer
    x = 5,712.39

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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.