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Finding the Fourth Proportional to 5,791.44, 8,691.82 and 3,294.22

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Solution

The fourth proportional to 5,791.44, 8,691.82 and 3,294.22 is: 4,943.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.44 : 8,691.82 = 3,294.22 : x
  2. Step 2: Convert to fraction form
    5,791.44/8,691.82 = 3,294.22/x
  3. Step 3: Cross multiply
    5,791.44x = 8,691.82 × 3,294.22
  4. Step 4: Simplify right side
    5,791.44x = 28,632,767.28
  5. Step 5: Solve for x
    x = 28,632,767.28/5,791.44
  6. Step 6: Final answer
    x = 4,943.98

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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.