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Finding the Fourth Proportional to 3,806.97, 5,252.78 and 2,314.04

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Solution

The fourth proportional to 3,806.97, 5,252.78 and 2,314.04 is: 3,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.97 : 5,252.78 = 2,314.04 : x
  2. Step 2: Convert to fraction form
    3,806.97/5,252.78 = 2,314.04/x
  3. Step 3: Cross multiply
    3,806.97x = 5,252.78 × 2,314.04
  4. Step 4: Simplify right side
    3,806.97x = 12,155,122.55
  5. Step 5: Solve for x
    x = 12,155,122.55/3,806.97
  6. Step 6: Final answer
    x = 3,192.86

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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.