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Finding the Fourth Proportional to 3,806.56, 5,251.41 and 2,213.09

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Solution

The fourth proportional to 3,806.56, 5,251.41 and 2,213.09 is: 3,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.56 : 5,251.41 = 2,213.09 : x
  2. Step 2: Convert to fraction form
    3,806.56/5,251.41 = 2,213.09/x
  3. Step 3: Cross multiply
    3,806.56x = 5,251.41 × 2,213.09
  4. Step 4: Simplify right side
    3,806.56x = 11,621,816.70
  5. Step 5: Solve for x
    x = 11,621,816.70/3,806.56
  6. Step 6: Final answer
    x = 3,053.10

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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.