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Finding the Fourth Proportional to 3,938.82, 5,435.24 and 2,446.44

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Solution

The fourth proportional to 3,938.82, 5,435.24 and 2,446.44 is: 3,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.82 : 5,435.24 = 2,446.44 : x
  2. Step 2: Convert to fraction form
    3,938.82/5,435.24 = 2,446.44/x
  3. Step 3: Cross multiply
    3,938.82x = 5,435.24 × 2,446.44
  4. Step 4: Simplify right side
    3,938.82x = 13,296,988.55
  5. Step 5: Solve for x
    x = 13,296,988.55/3,938.82
  6. Step 6: Final answer
    x = 3,375.88

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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.