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Finding the Fourth Proportional to 3,402.20, 5,096.14 and 1,644.68

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Solution

The fourth proportional to 3,402.20, 5,096.14 and 1,644.68 is: 2,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.20 : 5,096.14 = 1,644.68 : x
  2. Step 2: Convert to fraction form
    3,402.20/5,096.14 = 1,644.68/x
  3. Step 3: Cross multiply
    3,402.20x = 5,096.14 × 1,644.68
  4. Step 4: Simplify right side
    3,402.20x = 8,381,519.54
  5. Step 5: Solve for x
    x = 8,381,519.54/3,402.20
  6. Step 6: Final answer
    x = 2,463.56

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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.