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Finding the Fourth Proportional to 6,450.92, 8,899.71 and 3,794.12

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Solution

The fourth proportional to 6,450.92, 8,899.71 and 3,794.12 is: 5,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.92 : 8,899.71 = 3,794.12 : x
  2. Step 2: Convert to fraction form
    6,450.92/8,899.71 = 3,794.12/x
  3. Step 3: Cross multiply
    6,450.92x = 8,899.71 × 3,794.12
  4. Step 4: Simplify right side
    6,450.92x = 33,766,567.71
  5. Step 5: Solve for x
    x = 33,766,567.71/6,450.92
  6. Step 6: Final answer
    x = 5,234.38

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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.