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Finding the Fourth Proportional to 3,633.72, 5,449.22 and 1,441.86

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Solution

The fourth proportional to 3,633.72, 5,449.22 and 1,441.86 is: 2,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.72 : 5,449.22 = 1,441.86 : x
  2. Step 2: Convert to fraction form
    3,633.72/5,449.22 = 1,441.86/x
  3. Step 3: Cross multiply
    3,633.72x = 5,449.22 × 1,441.86
  4. Step 4: Simplify right side
    3,633.72x = 7,857,012.35
  5. Step 5: Solve for x
    x = 7,857,012.35/3,633.72
  6. Step 6: Final answer
    x = 2,162.25

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1.5x scale

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.