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Finding the Fourth Proportional to 5,941.69, 8,198.22 and 4,450.89

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Solution

The fourth proportional to 5,941.69, 8,198.22 and 4,450.89 is: 6,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.69 : 8,198.22 = 4,450.89 : x
  2. Step 2: Convert to fraction form
    5,941.69/8,198.22 = 4,450.89/x
  3. Step 3: Cross multiply
    5,941.69x = 8,198.22 × 4,450.89
  4. Step 4: Simplify right side
    5,941.69x = 36,489,375.42
  5. Step 5: Solve for x
    x = 36,489,375.42/5,941.69
  6. Step 6: Final answer
    x = 6,141.25

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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.