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Finding the Fourth Proportional to 3,799.42, 5,701.10 and 2,874.70

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Solution

The fourth proportional to 3,799.42, 5,701.10 and 2,874.70 is: 4,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.42 : 5,701.10 = 2,874.70 : x
  2. Step 2: Convert to fraction form
    3,799.42/5,701.10 = 2,874.70/x
  3. Step 3: Cross multiply
    3,799.42x = 5,701.10 × 2,874.70
  4. Step 4: Simplify right side
    3,799.42x = 16,388,923.54
  5. Step 5: Solve for x
    x = 16,388,923.54/3,799.42
  6. Step 6: Final answer
    x = 4,313.54

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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.