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Finding the Fourth Proportional to 3,892, 5,370.96 and 2,123.50

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Solution

The fourth proportional to 3,892, 5,370.96 and 2,123.50 is: 2,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892 : 5,370.96 = 2,123.50 : x
  2. Step 2: Convert to fraction form
    3,892/5,370.96 = 2,123.50/x
  3. Step 3: Cross multiply
    3,892x = 5,370.96 × 2,123.50
  4. Step 4: Simplify right side
    3,892x = 11,405,233.56
  5. Step 5: Solve for x
    x = 11,405,233.56/3,892
  6. Step 6: Final answer
    x = 2,930.43

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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.