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Finding the Fourth Proportional to 3,481.86, 5,214.42 and 2,016.57

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Solution

The fourth proportional to 3,481.86, 5,214.42 and 2,016.57 is: 3,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.86 : 5,214.42 = 2,016.57 : x
  2. Step 2: Convert to fraction form
    3,481.86/5,214.42 = 2,016.57/x
  3. Step 3: Cross multiply
    3,481.86x = 5,214.42 × 2,016.57
  4. Step 4: Simplify right side
    3,481.86x = 10,515,242.94
  5. Step 5: Solve for x
    x = 10,515,242.94/3,481.86
  6. Step 6: Final answer
    x = 3,020.01

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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.