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Finding the Fourth Proportional to 3,608.29, 5,414.24 and 1,661.86

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Solution

The fourth proportional to 3,608.29, 5,414.24 and 1,661.86 is: 2,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.29 : 5,414.24 = 1,661.86 : x
  2. Step 2: Convert to fraction form
    3,608.29/5,414.24 = 1,661.86/x
  3. Step 3: Cross multiply
    3,608.29x = 5,414.24 × 1,661.86
  4. Step 4: Simplify right side
    3,608.29x = 8,997,708.89
  5. Step 5: Solve for x
    x = 8,997,708.89/3,608.29
  6. Step 6: Final answer
    x = 2,493.62

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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.