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Finding the Fourth Proportional to 4,164.35, 5,744.15 and 3,167.44

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Solution

The fourth proportional to 4,164.35, 5,744.15 and 3,167.44 is: 4,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.35 : 5,744.15 = 3,167.44 : x
  2. Step 2: Convert to fraction form
    4,164.35/5,744.15 = 3,167.44/x
  3. Step 3: Cross multiply
    4,164.35x = 5,744.15 × 3,167.44
  4. Step 4: Simplify right side
    4,164.35x = 18,194,220.28
  5. Step 5: Solve for x
    x = 18,194,220.28/4,164.35
  6. Step 6: Final answer
    x = 4,369.05

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