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Finding the Fourth Proportional to 4,503.52, 6,747.84 and 3,198.64

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Solution

The fourth proportional to 4,503.52, 6,747.84 and 3,198.64 is: 4,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.52 : 6,747.84 = 3,198.64 : x
  2. Step 2: Convert to fraction form
    4,503.52/6,747.84 = 3,198.64/x
  3. Step 3: Cross multiply
    4,503.52x = 6,747.84 × 3,198.64
  4. Step 4: Simplify right side
    4,503.52x = 21,583,910.94
  5. Step 5: Solve for x
    x = 21,583,910.94/4,503.52
  6. Step 6: Final answer
    x = 4,792.68

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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.