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Finding the Fourth Proportional to 5,813, 8,022 and 3,160.44

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Solution

The fourth proportional to 5,813, 8,022 and 3,160.44 is: 4,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813 : 8,022 = 3,160.44 : x
  2. Step 2: Convert to fraction form
    5,813/8,022 = 3,160.44/x
  3. Step 3: Cross multiply
    5,813x = 8,022 × 3,160.44
  4. Step 4: Simplify right side
    5,813x = 25,353,049.68
  5. Step 5: Solve for x
    x = 25,353,049.68/5,813
  6. Step 6: Final answer
    x = 4,361.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.