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Finding the Fourth Proportional to 3,409.92, 5,103.36 and 2,112.48

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Solution

The fourth proportional to 3,409.92, 5,103.36 and 2,112.48 is: 3,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.92 : 5,103.36 = 2,112.48 : x
  2. Step 2: Convert to fraction form
    3,409.92/5,103.36 = 2,112.48/x
  3. Step 3: Cross multiply
    3,409.92x = 5,103.36 × 2,112.48
  4. Step 4: Simplify right side
    3,409.92x = 10,780,745.93
  5. Step 5: Solve for x
    x = 10,780,745.93/3,409.92
  6. Step 6: Final answer
    x = 3,161.58

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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.