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Finding the Fourth Proportional to 3,982.02, 5,494.87 and 2,213.47

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Solution

The fourth proportional to 3,982.02, 5,494.87 and 2,213.47 is: 3,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.02 : 5,494.87 = 2,213.47 : x
  2. Step 2: Convert to fraction form
    3,982.02/5,494.87 = 2,213.47/x
  3. Step 3: Cross multiply
    3,982.02x = 5,494.87 × 2,213.47
  4. Step 4: Simplify right side
    3,982.02x = 12,162,729.90
  5. Step 5: Solve for x
    x = 12,162,729.90/3,982.02
  6. Step 6: Final answer
    x = 3,054.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.