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Finding the Fourth Proportional to 6,199.38, 8,556.62 and 3,548.31

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Solution

The fourth proportional to 6,199.38, 8,556.62 and 3,548.31 is: 4,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.38 : 8,556.62 = 3,548.31 : x
  2. Step 2: Convert to fraction form
    6,199.38/8,556.62 = 3,548.31/x
  3. Step 3: Cross multiply
    6,199.38x = 8,556.62 × 3,548.31
  4. Step 4: Simplify right side
    6,199.38x = 30,361,540.31
  5. Step 5: Solve for x
    x = 30,361,540.31/6,199.38
  6. Step 6: Final answer
    x = 4,897.51

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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.