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Finding the Fourth Proportional to 6,372.92, 8,794.59 and 3,578.42

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Solution

The fourth proportional to 6,372.92, 8,794.59 and 3,578.42 is: 4,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.92 : 8,794.59 = 3,578.42 : x
  2. Step 2: Convert to fraction form
    6,372.92/8,794.59 = 3,578.42/x
  3. Step 3: Cross multiply
    6,372.92x = 8,794.59 × 3,578.42
  4. Step 4: Simplify right side
    6,372.92x = 31,470,736.75
  5. Step 5: Solve for x
    x = 31,470,736.75/6,372.92
  6. Step 6: Final answer
    x = 4,938.20

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Why These Related Problems?

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