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Finding the Fourth Proportional to 3,994.85, 5,994.32 and 2,241.83

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Solution

The fourth proportional to 3,994.85, 5,994.32 and 2,241.83 is: 3,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.85 : 5,994.32 = 2,241.83 : x
  2. Step 2: Convert to fraction form
    3,994.85/5,994.32 = 2,241.83/x
  3. Step 3: Cross multiply
    3,994.85x = 5,994.32 × 2,241.83
  4. Step 4: Simplify right side
    3,994.85x = 13,438,205.22
  5. Step 5: Solve for x
    x = 13,438,205.22/3,994.85
  6. Step 6: Final answer
    x = 3,363.89

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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.