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Finding the Fourth Proportional to 3,806.22, 5,252.62 and 2,234.34

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Solution

The fourth proportional to 3,806.22, 5,252.62 and 2,234.34 is: 3,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.22 : 5,252.62 = 2,234.34 : x
  2. Step 2: Convert to fraction form
    3,806.22/5,252.62 = 2,234.34/x
  3. Step 3: Cross multiply
    3,806.22x = 5,252.62 × 2,234.34
  4. Step 4: Simplify right side
    3,806.22x = 11,736,138.97
  5. Step 5: Solve for x
    x = 11,736,138.97/3,806.22
  6. Step 6: Final answer
    x = 3,083.41

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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.