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Finding the Fourth Proportional to 5,198.94, 7,800.22 and 2,698.92

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Solution

The fourth proportional to 5,198.94, 7,800.22 and 2,698.92 is: 4,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.94 : 7,800.22 = 2,698.92 : x
  2. Step 2: Convert to fraction form
    5,198.94/7,800.22 = 2,698.92/x
  3. Step 3: Cross multiply
    5,198.94x = 7,800.22 × 2,698.92
  4. Step 4: Simplify right side
    5,198.94x = 21,052,169.76
  5. Step 5: Solve for x
    x = 21,052,169.76/5,198.94
  6. Step 6: Final answer
    x = 4,049.32

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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.