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Finding the Fourth Proportional to 3,920.20, 5,894.70 and 3,286.60

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Solution

The fourth proportional to 3,920.20, 5,894.70 and 3,286.60 is: 4,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.20 : 5,894.70 = 3,286.60 : x
  2. Step 2: Convert to fraction form
    3,920.20/5,894.70 = 3,286.60/x
  3. Step 3: Cross multiply
    3,920.20x = 5,894.70 × 3,286.60
  4. Step 4: Simplify right side
    3,920.20x = 19,373,521.02
  5. Step 5: Solve for x
    x = 19,373,521.02/3,920.20
  6. Step 6: Final answer
    x = 4,941.97

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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.