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Finding the Fourth Proportional to 3,906.46, 5,385.30 and 2,785.44

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Solution

The fourth proportional to 3,906.46, 5,385.30 and 2,785.44 is: 3,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.46 : 5,385.30 = 2,785.44 : x
  2. Step 2: Convert to fraction form
    3,906.46/5,385.30 = 2,785.44/x
  3. Step 3: Cross multiply
    3,906.46x = 5,385.30 × 2,785.44
  4. Step 4: Simplify right side
    3,906.46x = 15,000,439.78
  5. Step 5: Solve for x
    x = 15,000,439.78/3,906.46
  6. Step 6: Final answer
    x = 3,839.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.