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Finding the Fourth Proportional to 3,764.36, 5,194.80 and 2,171

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Solution

The fourth proportional to 3,764.36, 5,194.80 and 2,171 is: 2,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.36 : 5,194.80 = 2,171 : x
  2. Step 2: Convert to fraction form
    3,764.36/5,194.80 = 2,171/x
  3. Step 3: Cross multiply
    3,764.36x = 5,194.80 × 2,171
  4. Step 4: Simplify right side
    3,764.36x = 11,277,910.80
  5. Step 5: Solve for x
    x = 11,277,910.80/3,764.36
  6. Step 6: Final answer
    x = 2,995.97

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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.