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Finding the Fourth Proportional to 3,981.74, 5,494.90 and 2,213.52

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Solution

The fourth proportional to 3,981.74, 5,494.90 and 2,213.52 is: 3,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.74 : 5,494.90 = 2,213.52 : x
  2. Step 2: Convert to fraction form
    3,981.74/5,494.90 = 2,213.52/x
  3. Step 3: Cross multiply
    3,981.74x = 5,494.90 × 2,213.52
  4. Step 4: Simplify right side
    3,981.74x = 12,163,071.05
  5. Step 5: Solve for x
    x = 12,163,071.05/3,981.74
  6. Step 6: Final answer
    x = 3,054.71

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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.