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Finding the Fourth Proportional to 4,843.50, 7,252.92 and 3,383.67

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Solution

The fourth proportional to 4,843.50, 7,252.92 and 3,383.67 is: 5,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.50 : 7,252.92 = 3,383.67 : x
  2. Step 2: Convert to fraction form
    4,843.50/7,252.92 = 3,383.67/x
  3. Step 3: Cross multiply
    4,843.50x = 7,252.92 × 3,383.67
  4. Step 4: Simplify right side
    4,843.50x = 24,541,487.82
  5. Step 5: Solve for x
    x = 24,541,487.82/4,843.50
  6. Step 6: Final answer
    x = 5,066.89

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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.