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Finding the Fourth Proportional to 3,769, 5,201.22 and 2,297

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Solution

The fourth proportional to 3,769, 5,201.22 and 2,297 is: 3,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769 : 5,201.22 = 2,297 : x
  2. Step 2: Convert to fraction form
    3,769/5,201.22 = 2,297/x
  3. Step 3: Cross multiply
    3,769x = 5,201.22 × 2,297
  4. Step 4: Simplify right side
    3,769x = 11,947,202.34
  5. Step 5: Solve for x
    x = 11,947,202.34/3,769
  6. Step 6: Final answer
    x = 3,169.86

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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.