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Finding the Fourth Proportional to 3,937.88, 5,906.78 and 3,697.32

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Solution

The fourth proportional to 3,937.88, 5,906.78 and 3,697.32 is: 5,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.88 : 5,906.78 = 3,697.32 : x
  2. Step 2: Convert to fraction form
    3,937.88/5,906.78 = 3,697.32/x
  3. Step 3: Cross multiply
    3,937.88x = 5,906.78 × 3,697.32
  4. Step 4: Simplify right side
    3,937.88x = 21,839,255.83
  5. Step 5: Solve for x
    x = 21,839,255.83/3,937.88
  6. Step 6: Final answer
    x = 5,545.94

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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.