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Finding the Fourth Proportional to 5,862.16, 8,793.24 and 3,414.09

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Solution

The fourth proportional to 5,862.16, 8,793.24 and 3,414.09 is: 5,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.16 : 8,793.24 = 3,414.09 : x
  2. Step 2: Convert to fraction form
    5,862.16/8,793.24 = 3,414.09/x
  3. Step 3: Cross multiply
    5,862.16x = 8,793.24 × 3,414.09
  4. Step 4: Simplify right side
    5,862.16x = 30,020,912.75
  5. Step 5: Solve for x
    x = 30,020,912.75/5,862.16
  6. Step 6: Final answer
    x = 5,121.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.