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Finding the Fourth Proportional to 3,596.32, 4,963.32 and 2,198.24

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Solution

The fourth proportional to 3,596.32, 4,963.32 and 2,198.24 is: 3,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.32 : 4,963.32 = 2,198.24 : x
  2. Step 2: Convert to fraction form
    3,596.32/4,963.32 = 2,198.24/x
  3. Step 3: Cross multiply
    3,596.32x = 4,963.32 × 2,198.24
  4. Step 4: Simplify right side
    3,596.32x = 10,910,568.56
  5. Step 5: Solve for x
    x = 10,910,568.56/3,596.32
  6. Step 6: Final answer
    x = 3,033.81

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1.5x scale

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.