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Finding the Fourth Proportional to 4,469.78, 6,700.52 and 2,391.22

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Solution

The fourth proportional to 4,469.78, 6,700.52 and 2,391.22 is: 3,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.78 : 6,700.52 = 2,391.22 : x
  2. Step 2: Convert to fraction form
    4,469.78/6,700.52 = 2,391.22/x
  3. Step 3: Cross multiply
    4,469.78x = 6,700.52 × 2,391.22
  4. Step 4: Simplify right side
    4,469.78x = 16,022,431.79
  5. Step 5: Solve for x
    x = 16,022,431.79/4,469.78
  6. Step 6: Final answer
    x = 3,584.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.