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Finding the Fourth Proportional to 4,198.79, 5,793.69 and 2,519.83

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Solution

The fourth proportional to 4,198.79, 5,793.69 and 2,519.83 is: 3,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.79 : 5,793.69 = 2,519.83 : x
  2. Step 2: Convert to fraction form
    4,198.79/5,793.69 = 2,519.83/x
  3. Step 3: Cross multiply
    4,198.79x = 5,793.69 × 2,519.83
  4. Step 4: Simplify right side
    4,198.79x = 14,599,113.87
  5. Step 5: Solve for x
    x = 14,599,113.87/4,198.79
  6. Step 6: Final answer
    x = 3,476.98

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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.