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Finding the Fourth Proportional to 6,202.20, 8,556.78 and 4,078.89

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Solution

The fourth proportional to 6,202.20, 8,556.78 and 4,078.89 is: 5,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.20 : 8,556.78 = 4,078.89 : x
  2. Step 2: Convert to fraction form
    6,202.20/8,556.78 = 4,078.89/x
  3. Step 3: Cross multiply
    6,202.20x = 8,556.78 × 4,078.89
  4. Step 4: Simplify right side
    6,202.20x = 34,902,164.37
  5. Step 5: Solve for x
    x = 34,902,164.37/6,202.20
  6. Step 6: Final answer
    x = 5,627.38

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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.