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Finding the Fourth Proportional to 5,144.84, 7,729.56 and 3,299.55

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Solution

The fourth proportional to 5,144.84, 7,729.56 and 3,299.55 is: 4,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.84 : 7,729.56 = 3,299.55 : x
  2. Step 2: Convert to fraction form
    5,144.84/7,729.56 = 3,299.55/x
  3. Step 3: Cross multiply
    5,144.84x = 7,729.56 × 3,299.55
  4. Step 4: Simplify right side
    5,144.84x = 25,504,069.70
  5. Step 5: Solve for x
    x = 25,504,069.70/5,144.84
  6. Step 6: Final answer
    x = 4,957.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.