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Finding the Fourth Proportional to 5,729.67, 7,907.15 and 3,211.79

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Solution

The fourth proportional to 5,729.67, 7,907.15 and 3,211.79 is: 4,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.67 : 7,907.15 = 3,211.79 : x
  2. Step 2: Convert to fraction form
    5,729.67/7,907.15 = 3,211.79/x
  3. Step 3: Cross multiply
    5,729.67x = 7,907.15 × 3,211.79
  4. Step 4: Simplify right side
    5,729.67x = 25,396,073.79
  5. Step 5: Solve for x
    x = 25,396,073.79/5,729.67
  6. Step 6: Final answer
    x = 4,432.38

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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.