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Finding the Fourth Proportional to 5,238.98, 7,855.96 and 2,463.31

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Solution

The fourth proportional to 5,238.98, 7,855.96 and 2,463.31 is: 3,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.98 : 7,855.96 = 2,463.31 : x
  2. Step 2: Convert to fraction form
    5,238.98/7,855.96 = 2,463.31/x
  3. Step 3: Cross multiply
    5,238.98x = 7,855.96 × 2,463.31
  4. Step 4: Simplify right side
    5,238.98x = 19,351,664.83
  5. Step 5: Solve for x
    x = 19,351,664.83/5,238.98
  6. Step 6: Final answer
    x = 3,693.78

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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.