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Finding the Fourth Proportional to 5,111.43, 7,672.61 and 4,149.15

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Solution

The fourth proportional to 5,111.43, 7,672.61 and 4,149.15 is: 6,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.43 : 7,672.61 = 4,149.15 : x
  2. Step 2: Convert to fraction form
    5,111.43/7,672.61 = 4,149.15/x
  3. Step 3: Cross multiply
    5,111.43x = 7,672.61 × 4,149.15
  4. Step 4: Simplify right side
    5,111.43x = 31,834,791.38
  5. Step 5: Solve for x
    x = 31,834,791.38/5,111.43
  6. Step 6: Final answer
    x = 6,228.16

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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.