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Finding the Fourth Proportional to 3,447.31, 5,170.97 and 850.25

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Solution

The fourth proportional to 3,447.31, 5,170.97 and 850.25 is: 1,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.31 : 5,170.97 = 850.25 : x
  2. Step 2: Convert to fraction form
    3,447.31/5,170.97 = 850.25/x
  3. Step 3: Cross multiply
    3,447.31x = 5,170.97 × 850.25
  4. Step 4: Simplify right side
    3,447.31x = 4,396,593.51
  5. Step 5: Solve for x
    x = 4,396,593.51/3,447.31
  6. Step 6: Final answer
    x = 1,275.37

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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.