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Finding the Fourth Proportional to 5,202.82, 7,180.38 and 2,845.30

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Solution

The fourth proportional to 5,202.82, 7,180.38 and 2,845.30 is: 3,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.82 : 7,180.38 = 2,845.30 : x
  2. Step 2: Convert to fraction form
    5,202.82/7,180.38 = 2,845.30/x
  3. Step 3: Cross multiply
    5,202.82x = 7,180.38 × 2,845.30
  4. Step 4: Simplify right side
    5,202.82x = 20,430,335.21
  5. Step 5: Solve for x
    x = 20,430,335.21/5,202.82
  6. Step 6: Final answer
    x = 3,926.78

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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.