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Finding the Fourth Proportional to 5,769.60, 7,961.95 and 3,251.97

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Solution

The fourth proportional to 5,769.60, 7,961.95 and 3,251.97 is: 4,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.60 : 7,961.95 = 3,251.97 : x
  2. Step 2: Convert to fraction form
    5,769.60/7,961.95 = 3,251.97/x
  3. Step 3: Cross multiply
    5,769.60x = 7,961.95 × 3,251.97
  4. Step 4: Simplify right side
    5,769.60x = 25,892,022.54
  5. Step 5: Solve for x
    x = 25,892,022.54/5,769.60
  6. Step 6: Final answer
    x = 4,487.66

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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.