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Finding the Fourth Proportional to 4,757.68, 7,131.05 and 3,195.80

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Solution

The fourth proportional to 4,757.68, 7,131.05 and 3,195.80 is: 4,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.68 : 7,131.05 = 3,195.80 : x
  2. Step 2: Convert to fraction form
    4,757.68/7,131.05 = 3,195.80/x
  3. Step 3: Cross multiply
    4,757.68x = 7,131.05 × 3,195.80
  4. Step 4: Simplify right side
    4,757.68x = 22,789,369.94
  5. Step 5: Solve for x
    x = 22,789,369.94/4,757.68
  6. Step 6: Final answer
    x = 4,790.02

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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.