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Finding the Fourth Proportional to 3,263.89, 4,895.82 and 798.73

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Solution

The fourth proportional to 3,263.89, 4,895.82 and 798.73 is: 1,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.89 : 4,895.82 = 798.73 : x
  2. Step 2: Convert to fraction form
    3,263.89/4,895.82 = 798.73/x
  3. Step 3: Cross multiply
    3,263.89x = 4,895.82 × 798.73
  4. Step 4: Simplify right side
    3,263.89x = 3,910,438.31
  5. Step 5: Solve for x
    x = 3,910,438.31/3,263.89
  6. Step 6: Final answer
    x = 1,198.09

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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.