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Finding the Fourth Proportional to 4,469.94, 6,674.82 and 3,649.83

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Solution

The fourth proportional to 4,469.94, 6,674.82 and 3,649.83 is: 5,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.94 : 6,674.82 = 3,649.83 : x
  2. Step 2: Convert to fraction form
    4,469.94/6,674.82 = 3,649.83/x
  3. Step 3: Cross multiply
    4,469.94x = 6,674.82 × 3,649.83
  4. Step 4: Simplify right side
    4,469.94x = 24,361,958.28
  5. Step 5: Solve for x
    x = 24,361,958.28/4,469.94
  6. Step 6: Final answer
    x = 5,450.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.