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Finding the Fourth Proportional to 4,344.91, 5,997.05 and 2,854.85

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Solution

The fourth proportional to 4,344.91, 5,997.05 and 2,854.85 is: 3,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.91 : 5,997.05 = 2,854.85 : x
  2. Step 2: Convert to fraction form
    4,344.91/5,997.05 = 2,854.85/x
  3. Step 3: Cross multiply
    4,344.91x = 5,997.05 × 2,854.85
  4. Step 4: Simplify right side
    4,344.91x = 17,120,644.64
  5. Step 5: Solve for x
    x = 17,120,644.64/4,344.91
  6. Step 6: Final answer
    x = 3,940.39

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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.