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Finding the Fourth Proportional to 3,447.92, 5,172 and 850.88

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Solution

The fourth proportional to 3,447.92, 5,172 and 850.88 is: 1,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.92 : 5,172 = 850.88 : x
  2. Step 2: Convert to fraction form
    3,447.92/5,172 = 850.88/x
  3. Step 3: Cross multiply
    3,447.92x = 5,172 × 850.88
  4. Step 4: Simplify right side
    3,447.92x = 4,400,751.36
  5. Step 5: Solve for x
    x = 4,400,751.36/3,447.92
  6. Step 6: Final answer
    x = 1,276.35

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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.