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Finding the Fourth Proportional to 5,517.14, 7,613.64 and 3,159.29

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Solution

The fourth proportional to 5,517.14, 7,613.64 and 3,159.29 is: 4,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517.14 : 7,613.64 = 3,159.29 : x
  2. Step 2: Convert to fraction form
    5,517.14/7,613.64 = 3,159.29/x
  3. Step 3: Cross multiply
    5,517.14x = 7,613.64 × 3,159.29
  4. Step 4: Simplify right side
    5,517.14x = 24,053,658.65
  5. Step 5: Solve for x
    x = 24,053,658.65/5,517.14
  6. Step 6: Final answer
    x = 4,359.81

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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.