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Finding the Fourth Proportional to 3,994.92, 5,513.16 and 2,226.59

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Solution

The fourth proportional to 3,994.92, 5,513.16 and 2,226.59 is: 3,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.92 : 5,513.16 = 2,226.59 : x
  2. Step 2: Convert to fraction form
    3,994.92/5,513.16 = 2,226.59/x
  3. Step 3: Cross multiply
    3,994.92x = 5,513.16 × 2,226.59
  4. Step 4: Simplify right side
    3,994.92x = 12,275,548.38
  5. Step 5: Solve for x
    x = 12,275,548.38/3,994.92
  6. Step 6: Final answer
    x = 3,072.79

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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.