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Finding the Fourth Proportional to 3,447.96, 5,171.88 and 850.90

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Solution

The fourth proportional to 3,447.96, 5,171.88 and 850.90 is: 1,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.96 : 5,171.88 = 850.90 : x
  2. Step 2: Convert to fraction form
    3,447.96/5,171.88 = 850.90/x
  3. Step 3: Cross multiply
    3,447.96x = 5,171.88 × 850.90
  4. Step 4: Simplify right side
    3,447.96x = 4,400,752.69
  5. Step 5: Solve for x
    x = 4,400,752.69/3,447.96
  6. Step 6: Final answer
    x = 1,276.34

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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.