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Finding the Fourth Proportional to 3,843.36, 5,757.57 and 2,258.28

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Solution

The fourth proportional to 3,843.36, 5,757.57 and 2,258.28 is: 3,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.36 : 5,757.57 = 2,258.28 : x
  2. Step 2: Convert to fraction form
    3,843.36/5,757.57 = 2,258.28/x
  3. Step 3: Cross multiply
    3,843.36x = 5,757.57 × 2,258.28
  4. Step 4: Simplify right side
    3,843.36x = 13,002,205.18
  5. Step 5: Solve for x
    x = 13,002,205.18/3,843.36
  6. Step 6: Final answer
    x = 3,383.03

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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.