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Finding the Fourth Proportional to 5,198.57, 7,174.13 and 2,840.86

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Solution

The fourth proportional to 5,198.57, 7,174.13 and 2,840.86 is: 3,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.57 : 7,174.13 = 2,840.86 : x
  2. Step 2: Convert to fraction form
    5,198.57/7,174.13 = 2,840.86/x
  3. Step 3: Cross multiply
    5,198.57x = 7,174.13 × 2,840.86
  4. Step 4: Simplify right side
    5,198.57x = 20,380,684.75
  5. Step 5: Solve for x
    x = 20,380,684.75/5,198.57
  6. Step 6: Final answer
    x = 3,920.44

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1.5x scale

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.