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Finding the Fourth Proportional to 3,982.34, 5,494.96 and 2,213.71

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Solution

The fourth proportional to 3,982.34, 5,494.96 and 2,213.71 is: 3,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.34 : 5,494.96 = 2,213.71 : x
  2. Step 2: Convert to fraction form
    3,982.34/5,494.96 = 2,213.71/x
  3. Step 3: Cross multiply
    3,982.34x = 5,494.96 × 2,213.71
  4. Step 4: Simplify right side
    3,982.34x = 12,164,247.90
  5. Step 5: Solve for x
    x = 12,164,247.90/3,982.34
  6. Step 6: Final answer
    x = 3,054.55

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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.