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Finding the Fourth Proportional to 5,812.38, 8,019.78 and 3,294.28

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Solution

The fourth proportional to 5,812.38, 8,019.78 and 3,294.28 is: 4,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.38 : 8,019.78 = 3,294.28 : x
  2. Step 2: Convert to fraction form
    5,812.38/8,019.78 = 3,294.28/x
  3. Step 3: Cross multiply
    5,812.38x = 8,019.78 × 3,294.28
  4. Step 4: Simplify right side
    5,812.38x = 26,419,400.86
  5. Step 5: Solve for x
    x = 26,419,400.86/5,812.38
  6. Step 6: Final answer
    x = 4,545.37

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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.