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Finding the Fourth Proportional to 4,484.84, 6,727.24 and 1,198.26

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Solution

The fourth proportional to 4,484.84, 6,727.24 and 1,198.26 is: 1,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.84 : 6,727.24 = 1,198.26 : x
  2. Step 2: Convert to fraction form
    4,484.84/6,727.24 = 1,198.26/x
  3. Step 3: Cross multiply
    4,484.84x = 6,727.24 × 1,198.26
  4. Step 4: Simplify right side
    4,484.84x = 8,060,982.60
  5. Step 5: Solve for x
    x = 8,060,982.60/4,484.84
  6. Step 6: Final answer
    x = 1,797.38

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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.