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Finding the Fourth Proportional to 3,981.53, 5,494.71 and 2,213.16

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Solution

The fourth proportional to 3,981.53, 5,494.71 and 2,213.16 is: 3,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.53 : 5,494.71 = 2,213.16 : x
  2. Step 2: Convert to fraction form
    3,981.53/5,494.71 = 2,213.16/x
  3. Step 3: Cross multiply
    3,981.53x = 5,494.71 × 2,213.16
  4. Step 4: Simplify right side
    3,981.53x = 12,160,672.38
  5. Step 5: Solve for x
    x = 12,160,672.38/3,981.53
  6. Step 6: Final answer
    x = 3,054.28

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Why These Related Problems?

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