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Finding the Fourth Proportional to 5,277.68, 7,928.04 and 3,227.12

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Solution

The fourth proportional to 5,277.68, 7,928.04 and 3,227.12 is: 4,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.68 : 7,928.04 = 3,227.12 : x
  2. Step 2: Convert to fraction form
    5,277.68/7,928.04 = 3,227.12/x
  3. Step 3: Cross multiply
    5,277.68x = 7,928.04 × 3,227.12
  4. Step 4: Simplify right side
    5,277.68x = 25,584,736.44
  5. Step 5: Solve for x
    x = 25,584,736.44/5,277.68
  6. Step 6: Final answer
    x = 4,847.72

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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.