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Finding the Fourth Proportional to 5,019.97, 6,927.81 and 2,782.09

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Solution

The fourth proportional to 5,019.97, 6,927.81 and 2,782.09 is: 3,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.97 : 6,927.81 = 2,782.09 : x
  2. Step 2: Convert to fraction form
    5,019.97/6,927.81 = 2,782.09/x
  3. Step 3: Cross multiply
    5,019.97x = 6,927.81 × 2,782.09
  4. Step 4: Simplify right side
    5,019.97x = 19,273,790.92
  5. Step 5: Solve for x
    x = 19,273,790.92/5,019.97
  6. Step 6: Final answer
    x = 3,839.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.