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Finding the Fourth Proportional to 3,481.70, 5,222.52 and 884.62

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Solution

The fourth proportional to 3,481.70, 5,222.52 and 884.62 is: 1,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.70 : 5,222.52 = 884.62 : x
  2. Step 2: Convert to fraction form
    3,481.70/5,222.52 = 884.62/x
  3. Step 3: Cross multiply
    3,481.70x = 5,222.52 × 884.62
  4. Step 4: Simplify right side
    3,481.70x = 4,619,945.64
  5. Step 5: Solve for x
    x = 4,619,945.64/3,481.70
  6. Step 6: Final answer
    x = 1,326.92

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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.