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Finding the Fourth Proportional to 3,682.09, 5,524.81 and 3,370.65

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Solution

The fourth proportional to 3,682.09, 5,524.81 and 3,370.65 is: 5,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.09 : 5,524.81 = 3,370.65 : x
  2. Step 2: Convert to fraction form
    3,682.09/5,524.81 = 3,370.65/x
  3. Step 3: Cross multiply
    3,682.09x = 5,524.81 × 3,370.65
  4. Step 4: Simplify right side
    3,682.09x = 18,622,171.68
  5. Step 5: Solve for x
    x = 18,622,171.68/3,682.09
  6. Step 6: Final answer
    x = 5,057.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.