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Finding the Fourth Proportional to 3,777.48, 5,212.17 and 2,205.27

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Solution

The fourth proportional to 3,777.48, 5,212.17 and 2,205.27 is: 3,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.48 : 5,212.17 = 2,205.27 : x
  2. Step 2: Convert to fraction form
    3,777.48/5,212.17 = 2,205.27/x
  3. Step 3: Cross multiply
    3,777.48x = 5,212.17 × 2,205.27
  4. Step 4: Simplify right side
    3,777.48x = 11,494,242.14
  5. Step 5: Solve for x
    x = 11,494,242.14/3,777.48
  6. Step 6: Final answer
    x = 3,042.83

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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.