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Finding the Fourth Proportional to 4,198.79, 5,794.62 and 2,780.03

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Solution

The fourth proportional to 4,198.79, 5,794.62 and 2,780.03 is: 3,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.79 : 5,794.62 = 2,780.03 : x
  2. Step 2: Convert to fraction form
    4,198.79/5,794.62 = 2,780.03/x
  3. Step 3: Cross multiply
    4,198.79x = 5,794.62 × 2,780.03
  4. Step 4: Simplify right side
    4,198.79x = 16,109,210.20
  5. Step 5: Solve for x
    x = 16,109,210.20/4,198.79
  6. Step 6: Final answer
    x = 3,836.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.