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Finding the Fourth Proportional to 4,841.88, 7,259.82 and 2,067

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Solution

The fourth proportional to 4,841.88, 7,259.82 and 2,067 is: 3,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.88 : 7,259.82 = 2,067 : x
  2. Step 2: Convert to fraction form
    4,841.88/7,259.82 = 2,067/x
  3. Step 3: Cross multiply
    4,841.88x = 7,259.82 × 2,067
  4. Step 4: Simplify right side
    4,841.88x = 15,006,047.94
  5. Step 5: Solve for x
    x = 15,006,047.94/4,841.88
  6. Step 6: Final answer
    x = 3,099.22

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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.