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Finding the Fourth Proportional to 3,862.25, 5,743.69 and 3,739.23

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Solution

The fourth proportional to 3,862.25, 5,743.69 and 3,739.23 is: 5,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.25 : 5,743.69 = 3,739.23 : x
  2. Step 2: Convert to fraction form
    3,862.25/5,743.69 = 3,739.23/x
  3. Step 3: Cross multiply
    3,862.25x = 5,743.69 × 3,739.23
  4. Step 4: Simplify right side
    3,862.25x = 21,476,982.97
  5. Step 5: Solve for x
    x = 21,476,982.97/3,862.25
  6. Step 6: Final answer
    x = 5,560.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.