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Finding the Fourth Proportional to 5,769.16, 7,961.10 and 3,251.38

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Solution

The fourth proportional to 5,769.16, 7,961.10 and 3,251.38 is: 4,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.16 : 7,961.10 = 3,251.38 : x
  2. Step 2: Convert to fraction form
    5,769.16/7,961.10 = 3,251.38/x
  3. Step 3: Cross multiply
    5,769.16x = 7,961.10 × 3,251.38
  4. Step 4: Simplify right side
    5,769.16x = 25,884,561.32
  5. Step 5: Solve for x
    x = 25,884,561.32/5,769.16
  6. Step 6: Final answer
    x = 4,486.71

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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.