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Finding the Fourth Proportional to 3,937.62, 5,902.77 and 3,121.14

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Solution

The fourth proportional to 3,937.62, 5,902.77 and 3,121.14 is: 4,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.62 : 5,902.77 = 3,121.14 : x
  2. Step 2: Convert to fraction form
    3,937.62/5,902.77 = 3,121.14/x
  3. Step 3: Cross multiply
    3,937.62x = 5,902.77 × 3,121.14
  4. Step 4: Simplify right side
    3,937.62x = 18,423,371.56
  5. Step 5: Solve for x
    x = 18,423,371.56/3,937.62
  6. Step 6: Final answer
    x = 4,678.81

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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.