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Finding the Fourth Proportional to 5,578.98, 8,369.25 and 1,882.28

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Solution

The fourth proportional to 5,578.98, 8,369.25 and 1,882.28 is: 2,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.98 : 8,369.25 = 1,882.28 : x
  2. Step 2: Convert to fraction form
    5,578.98/8,369.25 = 1,882.28/x
  3. Step 3: Cross multiply
    5,578.98x = 8,369.25 × 1,882.28
  4. Step 4: Simplify right side
    5,578.98x = 15,753,230.04
  5. Step 5: Solve for x
    x = 15,753,230.04/5,578.98
  6. Step 6: Final answer
    x = 2,823.68

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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.