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Finding the Fourth Proportional to 3,261.29, 4,892.01 and 796.13

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Solution

The fourth proportional to 3,261.29, 4,892.01 and 796.13 is: 1,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.29 : 4,892.01 = 796.13 : x
  2. Step 2: Convert to fraction form
    3,261.29/4,892.01 = 796.13/x
  3. Step 3: Cross multiply
    3,261.29x = 4,892.01 × 796.13
  4. Step 4: Simplify right side
    3,261.29x = 3,894,675.92
  5. Step 5: Solve for x
    x = 3,894,675.92/3,261.29
  6. Step 6: Final answer
    x = 1,194.21

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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.