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Finding the Fourth Proportional to 3,387.46, 5,077.68 and 1,740.34

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Solution

The fourth proportional to 3,387.46, 5,077.68 and 1,740.34 is: 2,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.46 : 5,077.68 = 1,740.34 : x
  2. Step 2: Convert to fraction form
    3,387.46/5,077.68 = 1,740.34/x
  3. Step 3: Cross multiply
    3,387.46x = 5,077.68 × 1,740.34
  4. Step 4: Simplify right side
    3,387.46x = 8,836,889.61
  5. Step 5: Solve for x
    x = 8,836,889.61/3,387.46
  6. Step 6: Final answer
    x = 2,608.71

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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.