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Finding the Fourth Proportional to 3,447.67, 5,171.49 and 982.51

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Solution

The fourth proportional to 3,447.67, 5,171.49 and 982.51 is: 1,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.67 : 5,171.49 = 982.51 : x
  2. Step 2: Convert to fraction form
    3,447.67/5,171.49 = 982.51/x
  3. Step 3: Cross multiply
    3,447.67x = 5,171.49 × 982.51
  4. Step 4: Simplify right side
    3,447.67x = 5,081,040.64
  5. Step 5: Solve for x
    x = 5,081,040.64/3,447.67
  6. Step 6: Final answer
    x = 1,473.76

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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.