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Finding the Fourth Proportional to 3,663, 5,055 and 2,007

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Solution

The fourth proportional to 3,663, 5,055 and 2,007 is: 2,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663 : 5,055 = 2,007 : x
  2. Step 2: Convert to fraction form
    3,663/5,055 = 2,007/x
  3. Step 3: Cross multiply
    3,663x = 5,055 × 2,007
  4. Step 4: Simplify right side
    3,663x = 10,145,385
  5. Step 5: Solve for x
    x = 10,145,385/3,663
  6. Step 6: Final answer
    x = 2,769.69

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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.