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Finding the Fourth Proportional to 3,863.25, 5,745.17 and 3,740.23

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Solution

The fourth proportional to 3,863.25, 5,745.17 and 3,740.23 is: 5,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.25 : 5,745.17 = 3,740.23 : x
  2. Step 2: Convert to fraction form
    3,863.25/5,745.17 = 3,740.23/x
  3. Step 3: Cross multiply
    3,863.25x = 5,745.17 × 3,740.23
  4. Step 4: Simplify right side
    3,863.25x = 21,488,257.19
  5. Step 5: Solve for x
    x = 21,488,257.19/3,863.25
  6. Step 6: Final answer
    x = 5,562.22

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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.