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Finding the Fourth Proportional to 5,308.80, 7,961.92 and 2,227.84

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Solution

The fourth proportional to 5,308.80, 7,961.92 and 2,227.84 is: 3,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.80 : 7,961.92 = 2,227.84 : x
  2. Step 2: Convert to fraction form
    5,308.80/7,961.92 = 2,227.84/x
  3. Step 3: Cross multiply
    5,308.80x = 7,961.92 × 2,227.84
  4. Step 4: Simplify right side
    5,308.80x = 17,737,883.85
  5. Step 5: Solve for x
    x = 17,737,883.85/5,308.80
  6. Step 6: Final answer
    x = 3,341.22

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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.