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Finding the Fourth Proportional to 5,728.98, 7,906.55 and 3,211.52

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Solution

The fourth proportional to 5,728.98, 7,906.55 and 3,211.52 is: 4,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.98 : 7,906.55 = 3,211.52 : x
  2. Step 2: Convert to fraction form
    5,728.98/7,906.55 = 3,211.52/x
  3. Step 3: Cross multiply
    5,728.98x = 7,906.55 × 3,211.52
  4. Step 4: Simplify right side
    5,728.98x = 25,391,987.87
  5. Step 5: Solve for x
    x = 25,391,987.87/5,728.98
  6. Step 6: Final answer
    x = 4,432.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.