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Finding the Fourth Proportional to 4,546.69, 6,267.94 and 3,223.42

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Solution

The fourth proportional to 4,546.69, 6,267.94 and 3,223.42 is: 4,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.69 : 6,267.94 = 3,223.42 : x
  2. Step 2: Convert to fraction form
    4,546.69/6,267.94 = 3,223.42/x
  3. Step 3: Cross multiply
    4,546.69x = 6,267.94 × 3,223.42
  4. Step 4: Simplify right side
    4,546.69x = 20,204,179.43
  5. Step 5: Solve for x
    x = 20,204,179.43/4,546.69
  6. Step 6: Final answer
    x = 4,443.71

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