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Finding the Fourth Proportional to 5,768.78, 7,960.25 and 3,531.97

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Solution

The fourth proportional to 5,768.78, 7,960.25 and 3,531.97 is: 4,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.78 : 7,960.25 = 3,531.97 : x
  2. Step 2: Convert to fraction form
    5,768.78/7,960.25 = 3,531.97/x
  3. Step 3: Cross multiply
    5,768.78x = 7,960.25 × 3,531.97
  4. Step 4: Simplify right side
    5,768.78x = 28,115,353.12
  5. Step 5: Solve for x
    x = 28,115,353.12/5,768.78
  6. Step 6: Final answer
    x = 4,873.71

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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.