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Finding the Fourth Proportional to 5,198.33, 7,783.62 and 2,727.99

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Solution

The fourth proportional to 5,198.33, 7,783.62 and 2,727.99 is: 4,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.33 : 7,783.62 = 2,727.99 : x
  2. Step 2: Convert to fraction form
    5,198.33/7,783.62 = 2,727.99/x
  3. Step 3: Cross multiply
    5,198.33x = 7,783.62 × 2,727.99
  4. Step 4: Simplify right side
    5,198.33x = 21,233,637.52
  5. Step 5: Solve for x
    x = 21,233,637.52/5,198.33
  6. Step 6: Final answer
    x = 4,084.71

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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.