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Finding the Fourth Proportional to 3,769.52, 5,202.10 and 2,090.82

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Solution

The fourth proportional to 3,769.52, 5,202.10 and 2,090.82 is: 2,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.52 : 5,202.10 = 2,090.82 : x
  2. Step 2: Convert to fraction form
    3,769.52/5,202.10 = 2,090.82/x
  3. Step 3: Cross multiply
    3,769.52x = 5,202.10 × 2,090.82
  4. Step 4: Simplify right side
    3,769.52x = 10,876,657.34
  5. Step 5: Solve for x
    x = 10,876,657.34/3,769.52
  6. Step 6: Final answer
    x = 2,885.43

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1.5x scale

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.