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Finding the Fourth Proportional to 3,982.67, 5,971.68 and 1,517.66

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Solution

The fourth proportional to 3,982.67, 5,971.68 and 1,517.66 is: 2,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.67 : 5,971.68 = 1,517.66 : x
  2. Step 2: Convert to fraction form
    3,982.67/5,971.68 = 1,517.66/x
  3. Step 3: Cross multiply
    3,982.67x = 5,971.68 × 1,517.66
  4. Step 4: Simplify right side
    3,982.67x = 9,062,950.01
  5. Step 5: Solve for x
    x = 9,062,950.01/3,982.67
  6. Step 6: Final answer
    x = 2,275.60

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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.