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Finding the Fourth Proportional to 3,447.24, 5,170.83 and 982.09

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Solution

The fourth proportional to 3,447.24, 5,170.83 and 982.09 is: 1,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.24 : 5,170.83 = 982.09 : x
  2. Step 2: Convert to fraction form
    3,447.24/5,170.83 = 982.09/x
  3. Step 3: Cross multiply
    3,447.24x = 5,170.83 × 982.09
  4. Step 4: Simplify right side
    3,447.24x = 5,078,220.43
  5. Step 5: Solve for x
    x = 5,078,220.43/3,447.24
  6. Step 6: Final answer
    x = 1,473.13

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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.