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Finding the Fourth Proportional to 4,107.09, 5,662.83 and 2,849.22

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Solution

The fourth proportional to 4,107.09, 5,662.83 and 2,849.22 is: 3,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.09 : 5,662.83 = 2,849.22 : x
  2. Step 2: Convert to fraction form
    4,107.09/5,662.83 = 2,849.22/x
  3. Step 3: Cross multiply
    4,107.09x = 5,662.83 × 2,849.22
  4. Step 4: Simplify right side
    4,107.09x = 16,134,648.49
  5. Step 5: Solve for x
    x = 16,134,648.49/4,107.09
  6. Step 6: Final answer
    x = 3,928.49

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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.