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Finding the Fourth Proportional to 4,484.67, 6,727.07 and 1,198.23

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Solution

The fourth proportional to 4,484.67, 6,727.07 and 1,198.23 is: 1,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.67 : 6,727.07 = 1,198.23 : x
  2. Step 2: Convert to fraction form
    4,484.67/6,727.07 = 1,198.23/x
  3. Step 3: Cross multiply
    4,484.67x = 6,727.07 × 1,198.23
  4. Step 4: Simplify right side
    4,484.67x = 8,060,577.09
  5. Step 5: Solve for x
    x = 8,060,577.09/4,484.67
  6. Step 6: Final answer
    x = 1,797.36

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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.