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Finding the Fourth Proportional to 3,981.58, 5,494.62 and 2,213.38

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Solution

The fourth proportional to 3,981.58, 5,494.62 and 2,213.38 is: 3,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.58 : 5,494.62 = 2,213.38 : x
  2. Step 2: Convert to fraction form
    3,981.58/5,494.62 = 2,213.38/x
  3. Step 3: Cross multiply
    3,981.58x = 5,494.62 × 2,213.38
  4. Step 4: Simplify right side
    3,981.58x = 12,161,682.02
  5. Step 5: Solve for x
    x = 12,161,682.02/3,981.58
  6. Step 6: Final answer
    x = 3,054.49

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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.