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Finding the Fourth Proportional to 3,806.50, 5,250.77 and 2,234.29

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Solution

The fourth proportional to 3,806.50, 5,250.77 and 2,234.29 is: 3,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.50 : 5,250.77 = 2,234.29 : x
  2. Step 2: Convert to fraction form
    3,806.50/5,250.77 = 2,234.29/x
  3. Step 3: Cross multiply
    3,806.50x = 5,250.77 × 2,234.29
  4. Step 4: Simplify right side
    3,806.50x = 11,731,722.24
  5. Step 5: Solve for x
    x = 11,731,722.24/3,806.50
  6. Step 6: Final answer
    x = 3,082.03

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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.