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Finding the Fourth Proportional to 3,937.32, 5,898.20 and 2,377.72

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Solution

The fourth proportional to 3,937.32, 5,898.20 and 2,377.72 is: 3,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.32 : 5,898.20 = 2,377.72 : x
  2. Step 2: Convert to fraction form
    3,937.32/5,898.20 = 2,377.72/x
  3. Step 3: Cross multiply
    3,937.32x = 5,898.20 × 2,377.72
  4. Step 4: Simplify right side
    3,937.32x = 14,024,268.10
  5. Step 5: Solve for x
    x = 14,024,268.10/3,937.32
  6. Step 6: Final answer
    x = 3,561.88

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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.