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Finding the Fourth Proportional to 5,589.92, 7,712.34 and 4,175.66

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Solution

The fourth proportional to 5,589.92, 7,712.34 and 4,175.66 is: 5,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.92 : 7,712.34 = 4,175.66 : x
  2. Step 2: Convert to fraction form
    5,589.92/7,712.34 = 4,175.66/x
  3. Step 3: Cross multiply
    5,589.92x = 7,712.34 × 4,175.66
  4. Step 4: Simplify right side
    5,589.92x = 32,204,109.64
  5. Step 5: Solve for x
    x = 32,204,109.64/5,589.92
  6. Step 6: Final answer
    x = 5,761.10

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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.