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Finding the Fourth Proportional to 5,572.44, 7,692.96 and 3,801

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Solution

The fourth proportional to 5,572.44, 7,692.96 and 3,801 is: 5,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.44 : 7,692.96 = 3,801 : x
  2. Step 2: Convert to fraction form
    5,572.44/7,692.96 = 3,801/x
  3. Step 3: Cross multiply
    5,572.44x = 7,692.96 × 3,801
  4. Step 4: Simplify right side
    5,572.44x = 29,240,940.96
  5. Step 5: Solve for x
    x = 29,240,940.96/5,572.44
  6. Step 6: Final answer
    x = 5,247.42

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