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Finding the Fourth Proportional to 3,983.46, 5,974.39 and 3,785.88

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Solution

The fourth proportional to 3,983.46, 5,974.39 and 3,785.88 is: 5,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.46 : 5,974.39 = 3,785.88 : x
  2. Step 2: Convert to fraction form
    3,983.46/5,974.39 = 3,785.88/x
  3. Step 3: Cross multiply
    3,983.46x = 5,974.39 × 3,785.88
  4. Step 4: Simplify right side
    3,983.46x = 22,618,350.75
  5. Step 5: Solve for x
    x = 22,618,350.75/3,983.46
  6. Step 6: Final answer
    x = 5,678.07

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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.