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Finding the Fourth Proportional to 5,362.86, 8,042.67 and 3,171

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Solution

The fourth proportional to 5,362.86, 8,042.67 and 3,171 is: 4,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.86 : 8,042.67 = 3,171 : x
  2. Step 2: Convert to fraction form
    5,362.86/8,042.67 = 3,171/x
  3. Step 3: Cross multiply
    5,362.86x = 8,042.67 × 3,171
  4. Step 4: Simplify right side
    5,362.86x = 25,503,306.57
  5. Step 5: Solve for x
    x = 25,503,306.57/5,362.86
  6. Step 6: Final answer
    x = 4,755.54

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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.