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Finding the Fourth Proportional to 4,965.22, 6,850.89 and 2,975.44

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Solution

The fourth proportional to 4,965.22, 6,850.89 and 2,975.44 is: 4,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.22 : 6,850.89 = 2,975.44 : x
  2. Step 2: Convert to fraction form
    4,965.22/6,850.89 = 2,975.44/x
  3. Step 3: Cross multiply
    4,965.22x = 6,850.89 × 2,975.44
  4. Step 4: Simplify right side
    4,965.22x = 20,384,412.14
  5. Step 5: Solve for x
    x = 20,384,412.14/4,965.22
  6. Step 6: Final answer
    x = 4,105.44

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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.