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Finding the Fourth Proportional to 5,496.43, 8,239.47 and 1,796.08

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Solution

The fourth proportional to 5,496.43, 8,239.47 and 1,796.08 is: 2,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.43 : 8,239.47 = 1,796.08 : x
  2. Step 2: Convert to fraction form
    5,496.43/8,239.47 = 1,796.08/x
  3. Step 3: Cross multiply
    5,496.43x = 8,239.47 × 1,796.08
  4. Step 4: Simplify right side
    5,496.43x = 14,798,747.28
  5. Step 5: Solve for x
    x = 14,798,747.28/5,496.43
  6. Step 6: Final answer
    x = 2,692.43

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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.