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Finding the Fourth Proportional to 3,147.43, 4,716.24 and 1,990.75

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Solution

The fourth proportional to 3,147.43, 4,716.24 and 1,990.75 is: 2,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.43 : 4,716.24 = 1,990.75 : x
  2. Step 2: Convert to fraction form
    3,147.43/4,716.24 = 1,990.75/x
  3. Step 3: Cross multiply
    3,147.43x = 4,716.24 × 1,990.75
  4. Step 4: Simplify right side
    3,147.43x = 9,388,854.78
  5. Step 5: Solve for x
    x = 9,388,854.78/3,147.43
  6. Step 6: Final answer
    x = 2,983.02

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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.