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Finding the Fourth Proportional to 5,200.68, 7,174.89 and 3,207.78

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Solution

The fourth proportional to 5,200.68, 7,174.89 and 3,207.78 is: 4,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.68 : 7,174.89 = 3,207.78 : x
  2. Step 2: Convert to fraction form
    5,200.68/7,174.89 = 3,207.78/x
  3. Step 3: Cross multiply
    5,200.68x = 7,174.89 × 3,207.78
  4. Step 4: Simplify right side
    5,200.68x = 23,015,468.64
  5. Step 5: Solve for x
    x = 23,015,468.64/5,200.68
  6. Step 6: Final answer
    x = 4,425.47

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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.