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Finding the Fourth Proportional to 3,489.75, 5,242.11 and 2,192.13

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Solution

The fourth proportional to 3,489.75, 5,242.11 and 2,192.13 is: 3,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.75 : 5,242.11 = 2,192.13 : x
  2. Step 2: Convert to fraction form
    3,489.75/5,242.11 = 2,192.13/x
  3. Step 3: Cross multiply
    3,489.75x = 5,242.11 × 2,192.13
  4. Step 4: Simplify right side
    3,489.75x = 11,491,386.59
  5. Step 5: Solve for x
    x = 11,491,386.59/3,489.75
  6. Step 6: Final answer
    x = 3,292.90

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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.