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Finding the Fourth Proportional to 5,469.73, 8,202.77 and 1,770.97

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Solution

The fourth proportional to 5,469.73, 8,202.77 and 1,770.97 is: 2,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.73 : 8,202.77 = 1,770.97 : x
  2. Step 2: Convert to fraction form
    5,469.73/8,202.77 = 1,770.97/x
  3. Step 3: Cross multiply
    5,469.73x = 8,202.77 × 1,770.97
  4. Step 4: Simplify right side
    5,469.73x = 14,526,859.59
  5. Step 5: Solve for x
    x = 14,526,859.59/5,469.73
  6. Step 6: Final answer
    x = 2,655.86

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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.