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Finding the Fourth Proportional to 6,067.20, 8,370 and 5,181.60

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Solution

The fourth proportional to 6,067.20, 8,370 and 5,181.60 is: 7,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.20 : 8,370 = 5,181.60 : x
  2. Step 2: Convert to fraction form
    6,067.20/8,370 = 5,181.60/x
  3. Step 3: Cross multiply
    6,067.20x = 8,370 × 5,181.60
  4. Step 4: Simplify right side
    6,067.20x = 43,369,992
  5. Step 5: Solve for x
    x = 43,369,992/6,067.20
  6. Step 6: Final answer
    x = 7,148.27

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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.