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Finding the Fourth Proportional to 5,692.49, 7,863.11 and 4,363.89

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Solution

The fourth proportional to 5,692.49, 7,863.11 and 4,363.89 is: 6,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.49 : 7,863.11 = 4,363.89 : x
  2. Step 2: Convert to fraction form
    5,692.49/7,863.11 = 4,363.89/x
  3. Step 3: Cross multiply
    5,692.49x = 7,863.11 × 4,363.89
  4. Step 4: Simplify right side
    5,692.49x = 34,313,747.10
  5. Step 5: Solve for x
    x = 34,313,747.10/5,692.49
  6. Step 6: Final answer
    x = 6,027.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.