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Finding the Fourth Proportional to 3,744.92, 5,610.18 and 2,096.46

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Solution

The fourth proportional to 3,744.92, 5,610.18 and 2,096.46 is: 3,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.92 : 5,610.18 = 2,096.46 : x
  2. Step 2: Convert to fraction form
    3,744.92/5,610.18 = 2,096.46/x
  3. Step 3: Cross multiply
    3,744.92x = 5,610.18 × 2,096.46
  4. Step 4: Simplify right side
    3,744.92x = 11,761,517.96
  5. Step 5: Solve for x
    x = 11,761,517.96/3,744.92
  6. Step 6: Final answer
    x = 3,140.66

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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.