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Finding the Fourth Proportional to 3,288.38, 4,538.58 and 1,963.22

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Solution

The fourth proportional to 3,288.38, 4,538.58 and 1,963.22 is: 2,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.38 : 4,538.58 = 1,963.22 : x
  2. Step 2: Convert to fraction form
    3,288.38/4,538.58 = 1,963.22/x
  3. Step 3: Cross multiply
    3,288.38x = 4,538.58 × 1,963.22
  4. Step 4: Simplify right side
    3,288.38x = 8,910,231.03
  5. Step 5: Solve for x
    x = 8,910,231.03/3,288.38
  6. Step 6: Final answer
    x = 2,709.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.