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Finding the Fourth Proportional to 3,786.46, 5,224.96 and 2,107.96

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Solution

The fourth proportional to 3,786.46, 5,224.96 and 2,107.96 is: 2,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.46 : 5,224.96 = 2,107.96 : x
  2. Step 2: Convert to fraction form
    3,786.46/5,224.96 = 2,107.96/x
  3. Step 3: Cross multiply
    3,786.46x = 5,224.96 × 2,107.96
  4. Step 4: Simplify right side
    3,786.46x = 11,014,006.68
  5. Step 5: Solve for x
    x = 11,014,006.68/3,786.46
  6. Step 6: Final answer
    x = 2,908.79

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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.