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Finding the Fourth Proportional to 3,447.75, 5,171.59 and 850.69

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Solution

The fourth proportional to 3,447.75, 5,171.59 and 850.69 is: 1,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.75 : 5,171.59 = 850.69 : x
  2. Step 2: Convert to fraction form
    3,447.75/5,171.59 = 850.69/x
  3. Step 3: Cross multiply
    3,447.75x = 5,171.59 × 850.69
  4. Step 4: Simplify right side
    3,447.75x = 4,399,419.90
  5. Step 5: Solve for x
    x = 4,399,419.90/3,447.75
  6. Step 6: Final answer
    x = 1,276.03

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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.