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Finding the Fourth Proportional to 4,249.87, 5,867.70 and 2,657.14

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Solution

The fourth proportional to 4,249.87, 5,867.70 and 2,657.14 is: 3,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.87 : 5,867.70 = 2,657.14 : x
  2. Step 2: Convert to fraction form
    4,249.87/5,867.70 = 2,657.14/x
  3. Step 3: Cross multiply
    4,249.87x = 5,867.70 × 2,657.14
  4. Step 4: Simplify right side
    4,249.87x = 15,591,300.38
  5. Step 5: Solve for x
    x = 15,591,300.38/4,249.87
  6. Step 6: Final answer
    x = 3,668.65

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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.