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Finding the Fourth Proportional to 4,538.57, 6,793.81 and 3,874.37

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Solution

The fourth proportional to 4,538.57, 6,793.81 and 3,874.37 is: 5,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.57 : 6,793.81 = 3,874.37 : x
  2. Step 2: Convert to fraction form
    4,538.57/6,793.81 = 3,874.37/x
  3. Step 3: Cross multiply
    4,538.57x = 6,793.81 × 3,874.37
  4. Step 4: Simplify right side
    4,538.57x = 26,321,689.99
  5. Step 5: Solve for x
    x = 26,321,689.99/4,538.57
  6. Step 6: Final answer
    x = 5,799.56

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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.