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Finding the Fourth Proportional to 3,983.38, 5,495.42 and 2,722.40

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Solution

The fourth proportional to 3,983.38, 5,495.42 and 2,722.40 is: 3,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.38 : 5,495.42 = 2,722.40 : x
  2. Step 2: Convert to fraction form
    3,983.38/5,495.42 = 2,722.40/x
  3. Step 3: Cross multiply
    3,983.38x = 5,495.42 × 2,722.40
  4. Step 4: Simplify right side
    3,983.38x = 14,960,731.41
  5. Step 5: Solve for x
    x = 14,960,731.41/3,983.38
  6. Step 6: Final answer
    x = 3,755.79

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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.