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Finding the Fourth Proportional to 4,865.45, 7,286.83 and 3,766.28

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Solution

The fourth proportional to 4,865.45, 7,286.83 and 3,766.28 is: 5,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.45 : 7,286.83 = 3,766.28 : x
  2. Step 2: Convert to fraction form
    4,865.45/7,286.83 = 3,766.28/x
  3. Step 3: Cross multiply
    4,865.45x = 7,286.83 × 3,766.28
  4. Step 4: Simplify right side
    4,865.45x = 27,444,196.24
  5. Step 5: Solve for x
    x = 27,444,196.24/4,865.45
  6. Step 6: Final answer
    x = 5,640.63

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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.