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Finding the Fourth Proportional to 5,105.01, 7,692.25 and 4,200.85

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Solution

The fourth proportional to 5,105.01, 7,692.25 and 4,200.85 is: 6,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.01 : 7,692.25 = 4,200.85 : x
  2. Step 2: Convert to fraction form
    5,105.01/7,692.25 = 4,200.85/x
  3. Step 3: Cross multiply
    5,105.01x = 7,692.25 × 4,200.85
  4. Step 4: Simplify right side
    5,105.01x = 32,313,988.41
  5. Step 5: Solve for x
    x = 32,313,988.41/5,105.01
  6. Step 6: Final answer
    x = 6,329.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.