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Finding the Fourth Proportional to 5,796.33, 7,997.92 and 3,406.53

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Solution

The fourth proportional to 5,796.33, 7,997.92 and 3,406.53 is: 4,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.33 : 7,997.92 = 3,406.53 : x
  2. Step 2: Convert to fraction form
    5,796.33/7,997.92 = 3,406.53/x
  3. Step 3: Cross multiply
    5,796.33x = 7,997.92 × 3,406.53
  4. Step 4: Simplify right side
    5,796.33x = 27,245,114.43
  5. Step 5: Solve for x
    x = 27,245,114.43/5,796.33
  6. Step 6: Final answer
    x = 4,700.41

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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.