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Finding the Fourth Proportional to 4,245.26, 5,857.46 and 2,753

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Solution

The fourth proportional to 4,245.26, 5,857.46 and 2,753 is: 3,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.26 : 5,857.46 = 2,753 : x
  2. Step 2: Convert to fraction form
    4,245.26/5,857.46 = 2,753/x
  3. Step 3: Cross multiply
    4,245.26x = 5,857.46 × 2,753
  4. Step 4: Simplify right side
    4,245.26x = 16,125,587.38
  5. Step 5: Solve for x
    x = 16,125,587.38/4,245.26
  6. Step 6: Final answer
    x = 3,798.49

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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.