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Finding the Fourth Proportional to 3,994.78, 5,512.74 and 2,226.38

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Solution

The fourth proportional to 3,994.78, 5,512.74 and 2,226.38 is: 3,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.78 : 5,512.74 = 2,226.38 : x
  2. Step 2: Convert to fraction form
    3,994.78/5,512.74 = 2,226.38/x
  3. Step 3: Cross multiply
    3,994.78x = 5,512.74 × 2,226.38
  4. Step 4: Simplify right side
    3,994.78x = 12,273,454.08
  5. Step 5: Solve for x
    x = 12,273,454.08/3,994.78
  6. Step 6: Final answer
    x = 3,072.37

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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.