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Finding the Fourth Proportional to 5,691.24, 7,853.61 and 3,173.61

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Solution

The fourth proportional to 5,691.24, 7,853.61 and 3,173.61 is: 4,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.24 : 7,853.61 = 3,173.61 : x
  2. Step 2: Convert to fraction form
    5,691.24/7,853.61 = 3,173.61/x
  3. Step 3: Cross multiply
    5,691.24x = 7,853.61 × 3,173.61
  4. Step 4: Simplify right side
    5,691.24x = 24,924,295.23
  5. Step 5: Solve for x
    x = 24,924,295.23/5,691.24
  6. Step 6: Final answer
    x = 4,379.41

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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.