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Finding the Fourth Proportional to 3,806.14, 5,251.88 and 2,213.14

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Solution

The fourth proportional to 3,806.14, 5,251.88 and 2,213.14 is: 3,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.14 : 5,251.88 = 2,213.14 : x
  2. Step 2: Convert to fraction form
    3,806.14/5,251.88 = 2,213.14/x
  3. Step 3: Cross multiply
    3,806.14x = 5,251.88 × 2,213.14
  4. Step 4: Simplify right side
    3,806.14x = 11,623,145.70
  5. Step 5: Solve for x
    x = 11,623,145.70/3,806.14
  6. Step 6: Final answer
    x = 3,053.79

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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.