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Finding the Fourth Proportional to 3,489.73, 4,816.20 and 1,998.14

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Solution

The fourth proportional to 3,489.73, 4,816.20 and 1,998.14 is: 2,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.73 : 4,816.20 = 1,998.14 : x
  2. Step 2: Convert to fraction form
    3,489.73/4,816.20 = 1,998.14/x
  3. Step 3: Cross multiply
    3,489.73x = 4,816.20 × 1,998.14
  4. Step 4: Simplify right side
    3,489.73x = 9,623,425.28
  5. Step 5: Solve for x
    x = 9,623,425.28/3,489.73
  6. Step 6: Final answer
    x = 2,757.64

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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.