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Finding the Fourth Proportional to 3,753.42, 5,179.68 and 2,074.92

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Solution

The fourth proportional to 3,753.42, 5,179.68 and 2,074.92 is: 2,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.42 : 5,179.68 = 2,074.92 : x
  2. Step 2: Convert to fraction form
    3,753.42/5,179.68 = 2,074.92/x
  3. Step 3: Cross multiply
    3,753.42x = 5,179.68 × 2,074.92
  4. Step 4: Simplify right side
    3,753.42x = 10,747,421.63
  5. Step 5: Solve for x
    x = 10,747,421.63/3,753.42
  6. Step 6: Final answer
    x = 2,863.37

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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.