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Finding the Fourth Proportional to 4,191.92, 5,781.50 and 3,720.16

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Solution

The fourth proportional to 4,191.92, 5,781.50 and 3,720.16 is: 5,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.92 : 5,781.50 = 3,720.16 : x
  2. Step 2: Convert to fraction form
    4,191.92/5,781.50 = 3,720.16/x
  3. Step 3: Cross multiply
    4,191.92x = 5,781.50 × 3,720.16
  4. Step 4: Simplify right side
    4,191.92x = 21,508,105.04
  5. Step 5: Solve for x
    x = 21,508,105.04/4,191.92
  6. Step 6: Final answer
    x = 5,130.85

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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.