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Finding the Fourth Proportional to 3,871.32, 5,344.06 and 2,614.08

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Solution

The fourth proportional to 3,871.32, 5,344.06 and 2,614.08 is: 3,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.32 : 5,344.06 = 2,614.08 : x
  2. Step 2: Convert to fraction form
    3,871.32/5,344.06 = 2,614.08/x
  3. Step 3: Cross multiply
    3,871.32x = 5,344.06 × 2,614.08
  4. Step 4: Simplify right side
    3,871.32x = 13,969,770.17
  5. Step 5: Solve for x
    x = 13,969,770.17/3,871.32
  6. Step 6: Final answer
    x = 3,608.53

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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.