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Finding the Fourth Proportional to 4,512.42, 6,229.08 and 2,744.64

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Solution

The fourth proportional to 4,512.42, 6,229.08 and 2,744.64 is: 3,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.42 : 6,229.08 = 2,744.64 : x
  2. Step 2: Convert to fraction form
    4,512.42/6,229.08 = 2,744.64/x
  3. Step 3: Cross multiply
    4,512.42x = 6,229.08 × 2,744.64
  4. Step 4: Simplify right side
    4,512.42x = 17,096,582.13
  5. Step 5: Solve for x
    x = 17,096,582.13/4,512.42
  6. Step 6: Final answer
    x = 3,788.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.