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Finding the Fourth Proportional to 5,200.97, 7,175.27 and 3,208.05

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Solution

The fourth proportional to 5,200.97, 7,175.27 and 3,208.05 is: 4,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.97 : 7,175.27 = 3,208.05 : x
  2. Step 2: Convert to fraction form
    5,200.97/7,175.27 = 3,208.05/x
  3. Step 3: Cross multiply
    5,200.97x = 7,175.27 × 3,208.05
  4. Step 4: Simplify right side
    5,200.97x = 23,018,608.88
  5. Step 5: Solve for x
    x = 23,018,608.88/5,200.97
  6. Step 6: Final answer
    x = 4,425.83

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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.