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Finding the Fourth Proportional to 5,842.29, 8,760.20 and 1,944.57

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Solution

The fourth proportional to 5,842.29, 8,760.20 and 1,944.57 is: 2,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.29 : 8,760.20 = 1,944.57 : x
  2. Step 2: Convert to fraction form
    5,842.29/8,760.20 = 1,944.57/x
  3. Step 3: Cross multiply
    5,842.29x = 8,760.20 × 1,944.57
  4. Step 4: Simplify right side
    5,842.29x = 17,034,812.39
  5. Step 5: Solve for x
    x = 17,034,812.39/5,842.29
  6. Step 6: Final answer
    x = 2,915.78

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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.