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Finding the Fourth Proportional to 3,489.88, 4,815.62 and 1,997.71

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Solution

The fourth proportional to 3,489.88, 4,815.62 and 1,997.71 is: 2,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.88 : 4,815.62 = 1,997.71 : x
  2. Step 2: Convert to fraction form
    3,489.88/4,815.62 = 1,997.71/x
  3. Step 3: Cross multiply
    3,489.88x = 4,815.62 × 1,997.71
  4. Step 4: Simplify right side
    3,489.88x = 9,620,205.19
  5. Step 5: Solve for x
    x = 9,620,205.19/3,489.88
  6. Step 6: Final answer
    x = 2,756.60

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