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Finding the Fourth Proportional to 3,760.97, 5,635.71 and 1,909.31

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Solution

The fourth proportional to 3,760.97, 5,635.71 and 1,909.31 is: 2,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.97 : 5,635.71 = 1,909.31 : x
  2. Step 2: Convert to fraction form
    3,760.97/5,635.71 = 1,909.31/x
  3. Step 3: Cross multiply
    3,760.97x = 5,635.71 × 1,909.31
  4. Step 4: Simplify right side
    3,760.97x = 10,760,289.28
  5. Step 5: Solve for x
    x = 10,760,289.28/3,760.97
  6. Step 6: Final answer
    x = 2,861.04

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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.