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Finding the Fourth Proportional to 4,158.81, 5,736.52 and 3,161.90

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Solution

The fourth proportional to 4,158.81, 5,736.52 and 3,161.90 is: 4,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.81 : 5,736.52 = 3,161.90 : x
  2. Step 2: Convert to fraction form
    4,158.81/5,736.52 = 3,161.90/x
  3. Step 3: Cross multiply
    4,158.81x = 5,736.52 × 3,161.90
  4. Step 4: Simplify right side
    4,158.81x = 18,138,320.88
  5. Step 5: Solve for x
    x = 18,138,320.88/4,158.81
  6. Step 6: Final answer
    x = 4,361.42

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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.