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Finding the Fourth Proportional to 3,969, 5,941.76 and 2,733.75

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Solution

The fourth proportional to 3,969, 5,941.76 and 2,733.75 is: 4,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969 : 5,941.76 = 2,733.75 : x
  2. Step 2: Convert to fraction form
    3,969/5,941.76 = 2,733.75/x
  3. Step 3: Cross multiply
    3,969x = 5,941.76 × 2,733.75
  4. Step 4: Simplify right side
    3,969x = 16,243,272.73
  5. Step 5: Solve for x
    x = 16,243,272.73/3,969
  6. Step 6: Final answer
    x = 4,092.54

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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.