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Finding the Fourth Proportional to 5,238.79, 7,844.31 and 2,766.11

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Solution

The fourth proportional to 5,238.79, 7,844.31 and 2,766.11 is: 4,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.79 : 7,844.31 = 2,766.11 : x
  2. Step 2: Convert to fraction form
    5,238.79/7,844.31 = 2,766.11/x
  3. Step 3: Cross multiply
    5,238.79x = 7,844.31 × 2,766.11
  4. Step 4: Simplify right side
    5,238.79x = 21,698,185.11
  5. Step 5: Solve for x
    x = 21,698,185.11/5,238.79
  6. Step 6: Final answer
    x = 4,141.83

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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.