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Finding the Fourth Proportional to 3,447.46, 5,170.41 and 982.23

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Solution

The fourth proportional to 3,447.46, 5,170.41 and 982.23 is: 1,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.46 : 5,170.41 = 982.23 : x
  2. Step 2: Convert to fraction form
    3,447.46/5,170.41 = 982.23/x
  3. Step 3: Cross multiply
    3,447.46x = 5,170.41 × 982.23
  4. Step 4: Simplify right side
    3,447.46x = 5,078,512.43
  5. Step 5: Solve for x
    x = 5,078,512.43/3,447.46
  6. Step 6: Final answer
    x = 1,473.12

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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.