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Finding the Fourth Proportional to 3,489.61, 4,815.38 and 1,997.19

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Solution

The fourth proportional to 3,489.61, 4,815.38 and 1,997.19 is: 2,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.61 : 4,815.38 = 1,997.19 : x
  2. Step 2: Convert to fraction form
    3,489.61/4,815.38 = 1,997.19/x
  3. Step 3: Cross multiply
    3,489.61x = 4,815.38 × 1,997.19
  4. Step 4: Simplify right side
    3,489.61x = 9,617,228.78
  5. Step 5: Solve for x
    x = 9,617,228.78/3,489.61
  6. Step 6: Final answer
    x = 2,755.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.