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Finding the Fourth Proportional to 3,994.96, 5,994.48 and 3,027

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Solution

The fourth proportional to 3,994.96, 5,994.48 and 3,027 is: 4,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.96 : 5,994.48 = 3,027 : x
  2. Step 2: Convert to fraction form
    3,994.96/5,994.48 = 3,027/x
  3. Step 3: Cross multiply
    3,994.96x = 5,994.48 × 3,027
  4. Step 4: Simplify right side
    3,994.96x = 18,145,290.96
  5. Step 5: Solve for x
    x = 18,145,290.96/3,994.96
  6. Step 6: Final answer
    x = 4,542.05

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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.