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Finding the Fourth Proportional to 5,179.78, 7,773.56 and 3,796.64

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Solution

The fourth proportional to 5,179.78, 7,773.56 and 3,796.64 is: 5,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.78 : 7,773.56 = 3,796.64 : x
  2. Step 2: Convert to fraction form
    5,179.78/7,773.56 = 3,796.64/x
  3. Step 3: Cross multiply
    5,179.78x = 7,773.56 × 3,796.64
  4. Step 4: Simplify right side
    5,179.78x = 29,513,408.84
  5. Step 5: Solve for x
    x = 29,513,408.84/5,179.78
  6. Step 6: Final answer
    x = 5,697.81

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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.