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Finding the Fourth Proportional to 3,940.20, 5,909.09 and 1,342.53

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Solution

The fourth proportional to 3,940.20, 5,909.09 and 1,342.53 is: 2,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.20 : 5,909.09 = 1,342.53 : x
  2. Step 2: Convert to fraction form
    3,940.20/5,909.09 = 1,342.53/x
  3. Step 3: Cross multiply
    3,940.20x = 5,909.09 × 1,342.53
  4. Step 4: Simplify right side
    3,940.20x = 7,933,123.89
  5. Step 5: Solve for x
    x = 7,933,123.89/3,940.20
  6. Step 6: Final answer
    x = 2,013.38

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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.