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Finding the Fourth Proportional to 3,862.26, 5,794.56 and 1,398.24

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Solution

The fourth proportional to 3,862.26, 5,794.56 and 1,398.24 is: 2,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.26 : 5,794.56 = 1,398.24 : x
  2. Step 2: Convert to fraction form
    3,862.26/5,794.56 = 1,398.24/x
  3. Step 3: Cross multiply
    3,862.26x = 5,794.56 × 1,398.24
  4. Step 4: Simplify right side
    3,862.26x = 8,102,185.57
  5. Step 5: Solve for x
    x = 8,102,185.57/3,862.26
  6. Step 6: Final answer
    x = 2,097.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.