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Finding the Fourth Proportional to 3,456.82, 4,769.06 and 2,128.22

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Solution

The fourth proportional to 3,456.82, 4,769.06 and 2,128.22 is: 2,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.82 : 4,769.06 = 2,128.22 : x
  2. Step 2: Convert to fraction form
    3,456.82/4,769.06 = 2,128.22/x
  3. Step 3: Cross multiply
    3,456.82x = 4,769.06 × 2,128.22
  4. Step 4: Simplify right side
    3,456.82x = 10,149,608.87
  5. Step 5: Solve for x
    x = 10,149,608.87/3,456.82
  6. Step 6: Final answer
    x = 2,936.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.