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Finding the Fourth Proportional to 3,452.86, 5,174.97 and 2,464.12

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Solution

The fourth proportional to 3,452.86, 5,174.97 and 2,464.12 is: 3,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.86 : 5,174.97 = 2,464.12 : x
  2. Step 2: Convert to fraction form
    3,452.86/5,174.97 = 2,464.12/x
  3. Step 3: Cross multiply
    3,452.86x = 5,174.97 × 2,464.12
  4. Step 4: Simplify right side
    3,452.86x = 12,751,747.08
  5. Step 5: Solve for x
    x = 12,751,747.08/3,452.86
  6. Step 6: Final answer
    x = 3,693.10

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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.