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Finding the Fourth Proportional to 3,806.56, 5,252.34 and 2,234.08

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Solution

The fourth proportional to 3,806.56, 5,252.34 and 2,234.08 is: 3,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.56 : 5,252.34 = 2,234.08 : x
  2. Step 2: Convert to fraction form
    3,806.56/5,252.34 = 2,234.08/x
  3. Step 3: Cross multiply
    3,806.56x = 5,252.34 × 2,234.08
  4. Step 4: Simplify right side
    3,806.56x = 11,734,147.75
  5. Step 5: Solve for x
    x = 11,734,147.75/3,806.56
  6. Step 6: Final answer
    x = 3,082.61

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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.