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Finding the Fourth Proportional to 3,807.78, 5,692.89 and 3,229.23

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Solution

The fourth proportional to 3,807.78, 5,692.89 and 3,229.23 is: 4,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.78 : 5,692.89 = 3,229.23 : x
  2. Step 2: Convert to fraction form
    3,807.78/5,692.89 = 3,229.23/x
  3. Step 3: Cross multiply
    3,807.78x = 5,692.89 × 3,229.23
  4. Step 4: Simplify right side
    3,807.78x = 18,383,651.17
  5. Step 5: Solve for x
    x = 18,383,651.17/3,807.78
  6. Step 6: Final answer
    x = 4,827.92

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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.