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Finding the Fourth Proportional to 3,841.00, 5,757.35 and 1,862.44

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Solution

The fourth proportional to 3,841.00, 5,757.35 and 1,862.44 is: 2,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.00 : 5,757.35 = 1,862.44 : x
  2. Step 2: Convert to fraction form
    3,841.00/5,757.35 = 1,862.44/x
  3. Step 3: Cross multiply
    3,841.00x = 5,757.35 × 1,862.44
  4. Step 4: Simplify right side
    3,841.00x = 10,722,695.23
  5. Step 5: Solve for x
    x = 10,722,695.23/3,841.00
  6. Step 6: Final answer
    x = 2,791.64

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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.