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Finding the Fourth Proportional to 3,796.25, 5,692.01 and 1,331.30

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Solution

The fourth proportional to 3,796.25, 5,692.01 and 1,331.30 is: 1,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.25 : 5,692.01 = 1,331.30 : x
  2. Step 2: Convert to fraction form
    3,796.25/5,692.01 = 1,331.30/x
  3. Step 3: Cross multiply
    3,796.25x = 5,692.01 × 1,331.30
  4. Step 4: Simplify right side
    3,796.25x = 7,577,780.49
  5. Step 5: Solve for x
    x = 7,577,780.49/3,796.25
  6. Step 6: Final answer
    x = 1,996.13

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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.