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Finding the Fourth Proportional to 3,806.12, 5,252.97 and 2,234.21

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Solution

The fourth proportional to 3,806.12, 5,252.97 and 2,234.21 is: 3,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.12 : 5,252.97 = 2,234.21 : x
  2. Step 2: Convert to fraction form
    3,806.12/5,252.97 = 2,234.21/x
  3. Step 3: Cross multiply
    3,806.12x = 5,252.97 × 2,234.21
  4. Step 4: Simplify right side
    3,806.12x = 11,736,238.10
  5. Step 5: Solve for x
    x = 11,736,238.10/3,806.12
  6. Step 6: Final answer
    x = 3,083.52

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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.