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Finding the Fourth Proportional to 3,350.14, 5,023.50 and 1,963.92

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Solution

The fourth proportional to 3,350.14, 5,023.50 and 1,963.92 is: 2,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,350.14 : 5,023.50 = 1,963.92 : x
  2. Step 2: Convert to fraction form
    3,350.14/5,023.50 = 1,963.92/x
  3. Step 3: Cross multiply
    3,350.14x = 5,023.50 × 1,963.92
  4. Step 4: Simplify right side
    3,350.14x = 9,865,752.12
  5. Step 5: Solve for x
    x = 9,865,752.12/3,350.14
  6. Step 6: Final answer
    x = 2,944.88

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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.