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Finding the Fourth Proportional to 3,892, 5,370.96 and 2,494.75

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Solution

The fourth proportional to 3,892, 5,370.96 and 2,494.75 is: 3,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892 : 5,370.96 = 2,494.75 : x
  2. Step 2: Convert to fraction form
    3,892/5,370.96 = 2,494.75/x
  3. Step 3: Cross multiply
    3,892x = 5,370.96 × 2,494.75
  4. Step 4: Simplify right side
    3,892x = 13,399,202.46
  5. Step 5: Solve for x
    x = 13,399,202.46/3,892
  6. Step 6: Final answer
    x = 3,442.76

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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.