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Finding the Fourth Proportional to 5,200.68, 7,807.56 and 3,229.20

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Solution

The fourth proportional to 5,200.68, 7,807.56 and 3,229.20 is: 4,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.68 : 7,807.56 = 3,229.20 : x
  2. Step 2: Convert to fraction form
    5,200.68/7,807.56 = 3,229.20/x
  3. Step 3: Cross multiply
    5,200.68x = 7,807.56 × 3,229.20
  4. Step 4: Simplify right side
    5,200.68x = 25,212,172.75
  5. Step 5: Solve for x
    x = 25,212,172.75/5,200.68
  6. Step 6: Final answer
    x = 4,847.86

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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.