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Finding the Fourth Proportional to 5,175.30, 7,739.11 and 3,843.61

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Solution

The fourth proportional to 5,175.30, 7,739.11 and 3,843.61 is: 5,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.30 : 7,739.11 = 3,843.61 : x
  2. Step 2: Convert to fraction form
    5,175.30/7,739.11 = 3,843.61/x
  3. Step 3: Cross multiply
    5,175.30x = 7,739.11 × 3,843.61
  4. Step 4: Simplify right side
    5,175.30x = 29,746,149.58
  5. Step 5: Solve for x
    x = 29,746,149.58/5,175.30
  6. Step 6: Final answer
    x = 5,747.71

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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.