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Finding the Fourth Proportional to 3,994.89, 5,993.19 and 1,221.75

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Solution

The fourth proportional to 3,994.89, 5,993.19 and 1,221.75 is: 1,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.89 : 5,993.19 = 1,221.75 : x
  2. Step 2: Convert to fraction form
    3,994.89/5,993.19 = 1,221.75/x
  3. Step 3: Cross multiply
    3,994.89x = 5,993.19 × 1,221.75
  4. Step 4: Simplify right side
    3,994.89x = 7,322,179.88
  5. Step 5: Solve for x
    x = 7,322,179.88/3,994.89
  6. Step 6: Final answer
    x = 1,832.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.