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Finding the Fourth Proportional to 5,414.30, 8,109.30 and 3,227.30

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Solution

The fourth proportional to 5,414.30, 8,109.30 and 3,227.30 is: 4,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.30 : 8,109.30 = 3,227.30 : x
  2. Step 2: Convert to fraction form
    5,414.30/8,109.30 = 3,227.30/x
  3. Step 3: Cross multiply
    5,414.30x = 8,109.30 × 3,227.30
  4. Step 4: Simplify right side
    5,414.30x = 26,171,143.89
  5. Step 5: Solve for x
    x = 26,171,143.89/5,414.30
  6. Step 6: Final answer
    x = 4,833.71

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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.