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Finding the Fourth Proportional to 3,481.69, 5,222.67 and 884.69

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Solution

The fourth proportional to 3,481.69, 5,222.67 and 884.69 is: 1,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.69 : 5,222.67 = 884.69 : x
  2. Step 2: Convert to fraction form
    3,481.69/5,222.67 = 884.69/x
  3. Step 3: Cross multiply
    3,481.69x = 5,222.67 × 884.69
  4. Step 4: Simplify right side
    3,481.69x = 4,620,443.92
  5. Step 5: Solve for x
    x = 4,620,443.92/3,481.69
  6. Step 6: Final answer
    x = 1,327.07

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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.