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Finding the Fourth Proportional to 5,131.72, 7,692.32 and 3,896.52

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Solution

The fourth proportional to 5,131.72, 7,692.32 and 3,896.52 is: 5,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.72 : 7,692.32 = 3,896.52 : x
  2. Step 2: Convert to fraction form
    5,131.72/7,692.32 = 3,896.52/x
  3. Step 3: Cross multiply
    5,131.72x = 7,692.32 × 3,896.52
  4. Step 4: Simplify right side
    5,131.72x = 29,973,278.73
  5. Step 5: Solve for x
    x = 29,973,278.73/5,131.72
  6. Step 6: Final answer
    x = 5,840.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.