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Finding the Fourth Proportional to 3,422.64, 5,131.11 and 2,982.81

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Solution

The fourth proportional to 3,422.64, 5,131.11 and 2,982.81 is: 4,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.64 : 5,131.11 = 2,982.81 : x
  2. Step 2: Convert to fraction form
    3,422.64/5,131.11 = 2,982.81/x
  3. Step 3: Cross multiply
    3,422.64x = 5,131.11 × 2,982.81
  4. Step 4: Simplify right side
    3,422.64x = 15,305,126.22
  5. Step 5: Solve for x
    x = 15,305,126.22/3,422.64
  6. Step 6: Final answer
    x = 4,471.73

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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.