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Finding the Fourth Proportional to 3,692.69, 5,541.47 and 2,027.47

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Solution

The fourth proportional to 3,692.69, 5,541.47 and 2,027.47 is: 3,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.69 : 5,541.47 = 2,027.47 : x
  2. Step 2: Convert to fraction form
    3,692.69/5,541.47 = 2,027.47/x
  3. Step 3: Cross multiply
    3,692.69x = 5,541.47 × 2,027.47
  4. Step 4: Simplify right side
    3,692.69x = 11,235,164.18
  5. Step 5: Solve for x
    x = 11,235,164.18/3,692.69
  6. Step 6: Final answer
    x = 3,042.54

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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.