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Finding the Fourth Proportional to 3,843.62, 5,304.25 and 2,331.18

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Solution

The fourth proportional to 3,843.62, 5,304.25 and 2,331.18 is: 3,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.62 : 5,304.25 = 2,331.18 : x
  2. Step 2: Convert to fraction form
    3,843.62/5,304.25 = 2,331.18/x
  3. Step 3: Cross multiply
    3,843.62x = 5,304.25 × 2,331.18
  4. Step 4: Simplify right side
    3,843.62x = 12,365,164.43
  5. Step 5: Solve for x
    x = 12,365,164.43/3,843.62
  6. Step 6: Final answer
    x = 3,217.06

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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.