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Finding the Fourth Proportional to 5,750, 7,936.08 and 3,266

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Solution

The fourth proportional to 5,750, 7,936.08 and 3,266 is: 4,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750 : 7,936.08 = 3,266 : x
  2. Step 2: Convert to fraction form
    5,750/7,936.08 = 3,266/x
  3. Step 3: Cross multiply
    5,750x = 7,936.08 × 3,266
  4. Step 4: Simplify right side
    5,750x = 25,919,237.28
  5. Step 5: Solve for x
    x = 25,919,237.28/5,750
  6. Step 6: Final answer
    x = 4,507.69

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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.