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Finding the Fourth Proportional to 3,781.71, 5,665.28 and 3,089.16

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Solution

The fourth proportional to 3,781.71, 5,665.28 and 3,089.16 is: 4,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.71 : 5,665.28 = 3,089.16 : x
  2. Step 2: Convert to fraction form
    3,781.71/5,665.28 = 3,089.16/x
  3. Step 3: Cross multiply
    3,781.71x = 5,665.28 × 3,089.16
  4. Step 4: Simplify right side
    3,781.71x = 17,500,940.92
  5. Step 5: Solve for x
    x = 17,500,940.92/3,781.71
  6. Step 6: Final answer
    x = 4,627.79

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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.