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Finding the Fourth Proportional to 3,839.64, 5,299.31 and 2,348.43

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Solution

The fourth proportional to 3,839.64, 5,299.31 and 2,348.43 is: 3,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.64 : 5,299.31 = 2,348.43 : x
  2. Step 2: Convert to fraction form
    3,839.64/5,299.31 = 2,348.43/x
  3. Step 3: Cross multiply
    3,839.64x = 5,299.31 × 2,348.43
  4. Step 4: Simplify right side
    3,839.64x = 12,445,046.84
  5. Step 5: Solve for x
    x = 12,445,046.84/3,839.64
  6. Step 6: Final answer
    x = 3,241.20

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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.