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Finding the Fourth Proportional to 5,175.78, 7,757.12 and 3,195.02

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Solution

The fourth proportional to 5,175.78, 7,757.12 and 3,195.02 is: 4,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.78 : 7,757.12 = 3,195.02 : x
  2. Step 2: Convert to fraction form
    5,175.78/7,757.12 = 3,195.02/x
  3. Step 3: Cross multiply
    5,175.78x = 7,757.12 × 3,195.02
  4. Step 4: Simplify right side
    5,175.78x = 24,784,153.54
  5. Step 5: Solve for x
    x = 24,784,153.54/5,175.78
  6. Step 6: Final answer
    x = 4,788.49

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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.