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Finding the Fourth Proportional to 3,452.14, 5,153.17 and 3,195.16

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Solution

The fourth proportional to 3,452.14, 5,153.17 and 3,195.16 is: 4,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.14 : 5,153.17 = 3,195.16 : x
  2. Step 2: Convert to fraction form
    3,452.14/5,153.17 = 3,195.16/x
  3. Step 3: Cross multiply
    3,452.14x = 5,153.17 × 3,195.16
  4. Step 4: Simplify right side
    3,452.14x = 16,465,186.68
  5. Step 5: Solve for x
    x = 16,465,186.68/3,452.14
  6. Step 6: Final answer
    x = 4,769.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.