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Finding the Fourth Proportional to 3,644.70, 5,027.02 and 2,383.73

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Solution

The fourth proportional to 3,644.70, 5,027.02 and 2,383.73 is: 3,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.70 : 5,027.02 = 2,383.73 : x
  2. Step 2: Convert to fraction form
    3,644.70/5,027.02 = 2,383.73/x
  3. Step 3: Cross multiply
    3,644.70x = 5,027.02 × 2,383.73
  4. Step 4: Simplify right side
    3,644.70x = 11,983,058.38
  5. Step 5: Solve for x
    x = 11,983,058.38/3,644.70
  6. Step 6: Final answer
    x = 3,287.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.