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Finding the Fourth Proportional to 3,447.26, 5,171.05 and 982.25

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Solution

The fourth proportional to 3,447.26, 5,171.05 and 982.25 is: 1,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.26 : 5,171.05 = 982.25 : x
  2. Step 2: Convert to fraction form
    3,447.26/5,171.05 = 982.25/x
  3. Step 3: Cross multiply
    3,447.26x = 5,171.05 × 982.25
  4. Step 4: Simplify right side
    3,447.26x = 5,079,235.55
  5. Step 5: Solve for x
    x = 5,079,235.55/3,447.26
  6. Step 6: Final answer
    x = 1,473.41

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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.