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Finding the Fourth Proportional to 5,691.72, 7,849.46 and 3,567.47

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Solution

The fourth proportional to 5,691.72, 7,849.46 and 3,567.47 is: 4,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.72 : 7,849.46 = 3,567.47 : x
  2. Step 2: Convert to fraction form
    5,691.72/7,849.46 = 3,567.47/x
  3. Step 3: Cross multiply
    5,691.72x = 7,849.46 × 3,567.47
  4. Step 4: Simplify right side
    5,691.72x = 28,002,696.03
  5. Step 5: Solve for x
    x = 28,002,696.03/5,691.72
  6. Step 6: Final answer
    x = 4,919.90

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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.