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Finding the Fourth Proportional to 3,778.72, 5,212.80 and 2,452.64

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Solution

The fourth proportional to 3,778.72, 5,212.80 and 2,452.64 is: 3,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.72 : 5,212.80 = 2,452.64 : x
  2. Step 2: Convert to fraction form
    3,778.72/5,212.80 = 2,452.64/x
  3. Step 3: Cross multiply
    3,778.72x = 5,212.80 × 2,452.64
  4. Step 4: Simplify right side
    3,778.72x = 12,785,121.79
  5. Step 5: Solve for x
    x = 12,785,121.79/3,778.72
  6. Step 6: Final answer
    x = 3,383.45

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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.