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Finding the Fourth Proportional to 3,981.65, 5,494.84 and 2,213.15

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Solution

The fourth proportional to 3,981.65, 5,494.84 and 2,213.15 is: 3,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.65 : 5,494.84 = 2,213.15 : x
  2. Step 2: Convert to fraction form
    3,981.65/5,494.84 = 2,213.15/x
  3. Step 3: Cross multiply
    3,981.65x = 5,494.84 × 2,213.15
  4. Step 4: Simplify right side
    3,981.65x = 12,160,872.14
  5. Step 5: Solve for x
    x = 12,160,872.14/3,981.65
  6. Step 6: Final answer
    x = 3,054.23

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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.