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Finding the Fourth Proportional to 5,843.54, 8,768.50 and 3,383.17

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Solution

The fourth proportional to 5,843.54, 8,768.50 and 3,383.17 is: 5,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.54 : 8,768.50 = 3,383.17 : x
  2. Step 2: Convert to fraction form
    5,843.54/8,768.50 = 3,383.17/x
  3. Step 3: Cross multiply
    5,843.54x = 8,768.50 × 3,383.17
  4. Step 4: Simplify right side
    5,843.54x = 29,665,282.30
  5. Step 5: Solve for x
    x = 29,665,282.30/5,843.54
  6. Step 6: Final answer
    x = 5,076.59

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Why These Related Problems?

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