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Finding the Fourth Proportional to 3,502.24, 4,834.83 and 2,744.69

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Solution

The fourth proportional to 3,502.24, 4,834.83 and 2,744.69 is: 3,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.24 : 4,834.83 = 2,744.69 : x
  2. Step 2: Convert to fraction form
    3,502.24/4,834.83 = 2,744.69/x
  3. Step 3: Cross multiply
    3,502.24x = 4,834.83 × 2,744.69
  4. Step 4: Simplify right side
    3,502.24x = 13,270,076.37
  5. Step 5: Solve for x
    x = 13,270,076.37/3,502.24
  6. Step 6: Final answer
    x = 3,789.03

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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.