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Finding the Fourth Proportional to 3,981.67, 5,494.66 and 2,213.24

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Solution

The fourth proportional to 3,981.67, 5,494.66 and 2,213.24 is: 3,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.67 : 5,494.66 = 2,213.24 : x
  2. Step 2: Convert to fraction form
    3,981.67/5,494.66 = 2,213.24/x
  3. Step 3: Cross multiply
    3,981.67x = 5,494.66 × 2,213.24
  4. Step 4: Simplify right side
    3,981.67x = 12,161,001.30
  5. Step 5: Solve for x
    x = 12,161,001.30/3,981.67
  6. Step 6: Final answer
    x = 3,054.25

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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.