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Finding the Fourth Proportional to 3,261.87, 4,892.72 and 796.59

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Solution

The fourth proportional to 3,261.87, 4,892.72 and 796.59 is: 1,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.87 : 4,892.72 = 796.59 : x
  2. Step 2: Convert to fraction form
    3,261.87/4,892.72 = 796.59/x
  3. Step 3: Cross multiply
    3,261.87x = 4,892.72 × 796.59
  4. Step 4: Simplify right side
    3,261.87x = 3,897,487.84
  5. Step 5: Solve for x
    x = 3,897,487.84/3,261.87
  6. Step 6: Final answer
    x = 1,194.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.