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Finding the Fourth Proportional to 5,578.92, 8,363.04 and 2,067.98

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Solution

The fourth proportional to 5,578.92, 8,363.04 and 2,067.98 is: 3,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.92 : 8,363.04 = 2,067.98 : x
  2. Step 2: Convert to fraction form
    5,578.92/8,363.04 = 2,067.98/x
  3. Step 3: Cross multiply
    5,578.92x = 8,363.04 × 2,067.98
  4. Step 4: Simplify right side
    5,578.92x = 17,294,599.46
  5. Step 5: Solve for x
    x = 17,294,599.46/5,578.92
  6. Step 6: Final answer
    x = 3,099.99

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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.