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Finding the Fourth Proportional to 3,096.52, 4,661.41 and 2,779

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Solution

The fourth proportional to 3,096.52, 4,661.41 and 2,779 is: 4,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.52 : 4,661.41 = 2,779 : x
  2. Step 2: Convert to fraction form
    3,096.52/4,661.41 = 2,779/x
  3. Step 3: Cross multiply
    3,096.52x = 4,661.41 × 2,779
  4. Step 4: Simplify right side
    3,096.52x = 12,954,058.39
  5. Step 5: Solve for x
    x = 12,954,058.39/3,096.52
  6. Step 6: Final answer
    x = 4,183.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.