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Finding the Fourth Proportional to 3,862.20, 5,785.20 and 3,214.20

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Solution

The fourth proportional to 3,862.20, 5,785.20 and 3,214.20 is: 4,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.20 : 5,785.20 = 3,214.20 : x
  2. Step 2: Convert to fraction form
    3,862.20/5,785.20 = 3,214.20/x
  3. Step 3: Cross multiply
    3,862.20x = 5,785.20 × 3,214.20
  4. Step 4: Simplify right side
    3,862.20x = 18,594,789.84
  5. Step 5: Solve for x
    x = 18,594,789.84/3,862.20
  6. Step 6: Final answer
    x = 4,814.56

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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.