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Finding the Fourth Proportional to 3,894.72, 5,844.24 and 2,335.20

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Solution

The fourth proportional to 3,894.72, 5,844.24 and 2,335.20 is: 3,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.72 : 5,844.24 = 2,335.20 : x
  2. Step 2: Convert to fraction form
    3,894.72/5,844.24 = 2,335.20/x
  3. Step 3: Cross multiply
    3,894.72x = 5,844.24 × 2,335.20
  4. Step 4: Simplify right side
    3,894.72x = 13,647,469.25
  5. Step 5: Solve for x
    x = 13,647,469.25/3,894.72
  6. Step 6: Final answer
    x = 3,504.10

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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.