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Finding the Fourth Proportional to 3,781.46, 5,665.44 and 3,227.96

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Solution

The fourth proportional to 3,781.46, 5,665.44 and 3,227.96 is: 4,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.46 : 5,665.44 = 3,227.96 : x
  2. Step 2: Convert to fraction form
    3,781.46/5,665.44 = 3,227.96/x
  3. Step 3: Cross multiply
    3,781.46x = 5,665.44 × 3,227.96
  4. Step 4: Simplify right side
    3,781.46x = 18,287,813.70
  5. Step 5: Solve for x
    x = 18,287,813.70/3,781.46
  6. Step 6: Final answer
    x = 4,836.18

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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.