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Finding the Fourth Proportional to 3,767.73, 5,644.89 and 3,214.29

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Solution

The fourth proportional to 3,767.73, 5,644.89 and 3,214.29 is: 4,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.73 : 5,644.89 = 3,214.29 : x
  2. Step 2: Convert to fraction form
    3,767.73/5,644.89 = 3,214.29/x
  3. Step 3: Cross multiply
    3,767.73x = 5,644.89 × 3,214.29
  4. Step 4: Simplify right side
    3,767.73x = 18,144,313.48
  5. Step 5: Solve for x
    x = 18,144,313.48/3,767.73
  6. Step 6: Final answer
    x = 4,815.71

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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.