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Finding the Fourth Proportional to 6,172.91, 8,516.67 and 3,781.64

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Solution

The fourth proportional to 6,172.91, 8,516.67 and 3,781.64 is: 5,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.91 : 8,516.67 = 3,781.64 : x
  2. Step 2: Convert to fraction form
    6,172.91/8,516.67 = 3,781.64/x
  3. Step 3: Cross multiply
    6,172.91x = 8,516.67 × 3,781.64
  4. Step 4: Simplify right side
    6,172.91x = 32,206,949.78
  5. Step 5: Solve for x
    x = 32,206,949.78/6,172.91
  6. Step 6: Final answer
    x = 5,217.47

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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.