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Finding the Fourth Proportional to 3,909.17, 5,866.75 and 2,731.50

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Solution

The fourth proportional to 3,909.17, 5,866.75 and 2,731.50 is: 4,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.17 : 5,866.75 = 2,731.50 : x
  2. Step 2: Convert to fraction form
    3,909.17/5,866.75 = 2,731.50/x
  3. Step 3: Cross multiply
    3,909.17x = 5,866.75 × 2,731.50
  4. Step 4: Simplify right side
    3,909.17x = 16,025,031.04
  5. Step 5: Solve for x
    x = 16,025,031.04/3,909.17
  6. Step 6: Final answer
    x = 4,099.34

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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.