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Finding the Fourth Proportional to 3,842.49, 5,767.15 and 1,994.88

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Solution

The fourth proportional to 3,842.49, 5,767.15 and 1,994.88 is: 2,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.49 : 5,767.15 = 1,994.88 : x
  2. Step 2: Convert to fraction form
    3,842.49/5,767.15 = 1,994.88/x
  3. Step 3: Cross multiply
    3,842.49x = 5,767.15 × 1,994.88
  4. Step 4: Simplify right side
    3,842.49x = 11,504,760.13
  5. Step 5: Solve for x
    x = 11,504,760.13/3,842.49
  6. Step 6: Final answer
    x = 2,994.09

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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.