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Finding the Fourth Proportional to 3,447.27, 5,170.87 and 982.11

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Solution

The fourth proportional to 3,447.27, 5,170.87 and 982.11 is: 1,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.27 : 5,170.87 = 982.11 : x
  2. Step 2: Convert to fraction form
    3,447.27/5,170.87 = 982.11/x
  3. Step 3: Cross multiply
    3,447.27x = 5,170.87 × 982.11
  4. Step 4: Simplify right side
    3,447.27x = 5,078,363.14
  5. Step 5: Solve for x
    x = 5,078,363.14/3,447.27
  6. Step 6: Final answer
    x = 1,473.16

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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.