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Finding the Fourth Proportional to 3,769.03, 5,201.01 and 2,090.38

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Solution

The fourth proportional to 3,769.03, 5,201.01 and 2,090.38 is: 2,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.03 : 5,201.01 = 2,090.38 : x
  2. Step 2: Convert to fraction form
    3,769.03/5,201.01 = 2,090.38/x
  3. Step 3: Cross multiply
    3,769.03x = 5,201.01 × 2,090.38
  4. Step 4: Simplify right side
    3,769.03x = 10,872,098.66
  5. Step 5: Solve for x
    x = 10,872,098.66/3,769.03
  6. Step 6: Final answer
    x = 2,884.58

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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.