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Finding the Fourth Proportional to 3,447.48, 5,171.34 and 982.52

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Solution

The fourth proportional to 3,447.48, 5,171.34 and 982.52 is: 1,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.48 : 5,171.34 = 982.52 : x
  2. Step 2: Convert to fraction form
    3,447.48/5,171.34 = 982.52/x
  3. Step 3: Cross multiply
    3,447.48x = 5,171.34 × 982.52
  4. Step 4: Simplify right side
    3,447.48x = 5,080,944.98
  5. Step 5: Solve for x
    x = 5,080,944.98/3,447.48
  6. Step 6: Final answer
    x = 1,473.81

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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.