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Finding the Fourth Proportional to 4,145, 6,217.56 and 1,067

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Solution

The fourth proportional to 4,145, 6,217.56 and 1,067 is: 1,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145 : 6,217.56 = 1,067 : x
  2. Step 2: Convert to fraction form
    4,145/6,217.56 = 1,067/x
  3. Step 3: Cross multiply
    4,145x = 6,217.56 × 1,067
  4. Step 4: Simplify right side
    4,145x = 6,634,136.52
  5. Step 5: Solve for x
    x = 6,634,136.52/4,145
  6. Step 6: Final answer
    x = 1,600.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.