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Finding the Fourth Proportional to 2,750.47, 3,796.20 and 2,086.20

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Solution

The fourth proportional to 2,750.47, 3,796.20 and 2,086.20 is: 2,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.47 : 3,796.20 = 2,086.20 : x
  2. Step 2: Convert to fraction form
    2,750.47/3,796.20 = 2,086.20/x
  3. Step 3: Cross multiply
    2,750.47x = 3,796.20 × 2,086.20
  4. Step 4: Simplify right side
    2,750.47x = 7,919,632.44
  5. Step 5: Solve for x
    x = 7,919,632.44/2,750.47
  6. Step 6: Final answer
    x = 2,879.38

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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.