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Finding the Fourth Proportional to 3,806.30, 5,257.83 and 2,869.18

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Solution

The fourth proportional to 3,806.30, 5,257.83 and 2,869.18 is: 3,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.30 : 5,257.83 = 2,869.18 : x
  2. Step 2: Convert to fraction form
    3,806.30/5,257.83 = 2,869.18/x
  3. Step 3: Cross multiply
    3,806.30x = 5,257.83 × 2,869.18
  4. Step 4: Simplify right side
    3,806.30x = 15,085,658.29
  5. Step 5: Solve for x
    x = 15,085,658.29/3,806.30
  6. Step 6: Final answer
    x = 3,963.34

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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.