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Finding the Fourth Proportional to 3,969.36, 5,951.34 and 2,017.80

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Solution

The fourth proportional to 3,969.36, 5,951.34 and 2,017.80 is: 3,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.36 : 5,951.34 = 2,017.80 : x
  2. Step 2: Convert to fraction form
    3,969.36/5,951.34 = 2,017.80/x
  3. Step 3: Cross multiply
    3,969.36x = 5,951.34 × 2,017.80
  4. Step 4: Simplify right side
    3,969.36x = 12,008,613.85
  5. Step 5: Solve for x
    x = 12,008,613.85/3,969.36
  6. Step 6: Final answer
    x = 3,025.33

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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.