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Finding the Fourth Proportional to 2,806.26, 3,862.92 and 2,704.22

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Solution

The fourth proportional to 2,806.26, 3,862.92 and 2,704.22 is: 3,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.26 : 3,862.92 = 2,704.22 : x
  2. Step 2: Convert to fraction form
    2,806.26/3,862.92 = 2,704.22/x
  3. Step 3: Cross multiply
    2,806.26x = 3,862.92 × 2,704.22
  4. Step 4: Simplify right side
    2,806.26x = 10,446,185.52
  5. Step 5: Solve for x
    x = 10,446,185.52/2,806.26
  6. Step 6: Final answer
    x = 3,722.46

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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.