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Finding the Fourth Proportional to 3,776.82, 5,212.53 and 2,204.97

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Solution

The fourth proportional to 3,776.82, 5,212.53 and 2,204.97 is: 3,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.82 : 5,212.53 = 2,204.97 : x
  2. Step 2: Convert to fraction form
    3,776.82/5,212.53 = 2,204.97/x
  3. Step 3: Cross multiply
    3,776.82x = 5,212.53 × 2,204.97
  4. Step 4: Simplify right side
    3,776.82x = 11,493,472.27
  5. Step 5: Solve for x
    x = 11,493,472.27/3,776.82
  6. Step 6: Final answer
    x = 3,043.16

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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.