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Finding the Fourth Proportional to 3,489.43, 5,227.91 and 1,842.29

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Solution

The fourth proportional to 3,489.43, 5,227.91 and 1,842.29 is: 2,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.43 : 5,227.91 = 1,842.29 : x
  2. Step 2: Convert to fraction form
    3,489.43/5,227.91 = 1,842.29/x
  3. Step 3: Cross multiply
    3,489.43x = 5,227.91 × 1,842.29
  4. Step 4: Simplify right side
    3,489.43x = 9,631,317.10
  5. Step 5: Solve for x
    x = 9,631,317.10/3,489.43
  6. Step 6: Final answer
    x = 2,760.14

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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.