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Finding the Fourth Proportional to 5,422.80, 8,138.81 and 3,866.62

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Solution

The fourth proportional to 5,422.80, 8,138.81 and 3,866.62 is: 5,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.80 : 8,138.81 = 3,866.62 : x
  2. Step 2: Convert to fraction form
    5,422.80/8,138.81 = 3,866.62/x
  3. Step 3: Cross multiply
    5,422.80x = 8,138.81 × 3,866.62
  4. Step 4: Simplify right side
    5,422.80x = 31,469,674.84
  5. Step 5: Solve for x
    x = 31,469,674.84/5,422.80
  6. Step 6: Final answer
    x = 5,803.22

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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.