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Finding the Fourth Proportional to 5,202.20, 7,179.14 and 2,844.44

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Solution

The fourth proportional to 5,202.20, 7,179.14 and 2,844.44 is: 3,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.20 : 7,179.14 = 2,844.44 : x
  2. Step 2: Convert to fraction form
    5,202.20/7,179.14 = 2,844.44/x
  3. Step 3: Cross multiply
    5,202.20x = 7,179.14 × 2,844.44
  4. Step 4: Simplify right side
    5,202.20x = 20,420,632.98
  5. Step 5: Solve for x
    x = 20,420,632.98/5,202.20
  6. Step 6: Final answer
    x = 3,925.38

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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.