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Finding the Fourth Proportional to 3,418.48, 5,124.84 and 1,469.20

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Solution

The fourth proportional to 3,418.48, 5,124.84 and 1,469.20 is: 2,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.48 : 5,124.84 = 1,469.20 : x
  2. Step 2: Convert to fraction form
    3,418.48/5,124.84 = 1,469.20/x
  3. Step 3: Cross multiply
    3,418.48x = 5,124.84 × 1,469.20
  4. Step 4: Simplify right side
    3,418.48x = 7,529,414.93
  5. Step 5: Solve for x
    x = 7,529,414.93/3,418.48
  6. Step 6: Final answer
    x = 2,202.56

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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.