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Finding the Fourth Proportional to 3,665, 5,057.70 and 2,009

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Solution

The fourth proportional to 3,665, 5,057.70 and 2,009 is: 2,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665 : 5,057.70 = 2,009 : x
  2. Step 2: Convert to fraction form
    3,665/5,057.70 = 2,009/x
  3. Step 3: Cross multiply
    3,665x = 5,057.70 × 2,009
  4. Step 4: Simplify right side
    3,665x = 10,160,919.30
  5. Step 5: Solve for x
    x = 10,160,919.30/3,665
  6. Step 6: Final answer
    x = 2,772.42

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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.