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Finding the Fourth Proportional to 3,468.83, 5,198.07 and 2,729.19

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Solution

The fourth proportional to 3,468.83, 5,198.07 and 2,729.19 is: 4,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.83 : 5,198.07 = 2,729.19 : x
  2. Step 2: Convert to fraction form
    3,468.83/5,198.07 = 2,729.19/x
  3. Step 3: Cross multiply
    3,468.83x = 5,198.07 × 2,729.19
  4. Step 4: Simplify right side
    3,468.83x = 14,186,550.39
  5. Step 5: Solve for x
    x = 14,186,550.39/3,468.83
  6. Step 6: Final answer
    x = 4,089.73

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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.