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Finding the Fourth Proportional to 5,542.76, 8,306.96 and 2,252

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Solution

The fourth proportional to 5,542.76, 8,306.96 and 2,252 is: 3,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.76 : 8,306.96 = 2,252 : x
  2. Step 2: Convert to fraction form
    5,542.76/8,306.96 = 2,252/x
  3. Step 3: Cross multiply
    5,542.76x = 8,306.96 × 2,252
  4. Step 4: Simplify right side
    5,542.76x = 18,707,273.92
  5. Step 5: Solve for x
    x = 18,707,273.92/5,542.76
  6. Step 6: Final answer
    x = 3,375.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.