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Finding the Fourth Proportional to 3,912.68, 5,399.52 and 2,340.38

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Solution

The fourth proportional to 3,912.68, 5,399.52 and 2,340.38 is: 3,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.68 : 5,399.52 = 2,340.38 : x
  2. Step 2: Convert to fraction form
    3,912.68/5,399.52 = 2,340.38/x
  3. Step 3: Cross multiply
    3,912.68x = 5,399.52 × 2,340.38
  4. Step 4: Simplify right side
    3,912.68x = 12,636,928.62
  5. Step 5: Solve for x
    x = 12,636,928.62/3,912.68
  6. Step 6: Final answer
    x = 3,229.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.