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Finding the Fourth Proportional to 3,871.34, 5,805.09 and 2,760.15

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Solution

The fourth proportional to 3,871.34, 5,805.09 and 2,760.15 is: 4,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.34 : 5,805.09 = 2,760.15 : x
  2. Step 2: Convert to fraction form
    3,871.34/5,805.09 = 2,760.15/x
  3. Step 3: Cross multiply
    3,871.34x = 5,805.09 × 2,760.15
  4. Step 4: Simplify right side
    3,871.34x = 16,022,919.16
  5. Step 5: Solve for x
    x = 16,022,919.16/3,871.34
  6. Step 6: Final answer
    x = 4,138.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.