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Finding the Fourth Proportional to 3,843.22, 5,304.31 and 2,227.90

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Solution

The fourth proportional to 3,843.22, 5,304.31 and 2,227.90 is: 3,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.22 : 5,304.31 = 2,227.90 : x
  2. Step 2: Convert to fraction form
    3,843.22/5,304.31 = 2,227.90/x
  3. Step 3: Cross multiply
    3,843.22x = 5,304.31 × 2,227.90
  4. Step 4: Simplify right side
    3,843.22x = 11,817,472.25
  5. Step 5: Solve for x
    x = 11,817,472.25/3,843.22
  6. Step 6: Final answer
    x = 3,074.89

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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.