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Finding the Fourth Proportional to 4,867, 6,716.46 and 2,659

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Solution

The fourth proportional to 4,867, 6,716.46 and 2,659 is: 3,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867 : 6,716.46 = 2,659 : x
  2. Step 2: Convert to fraction form
    4,867/6,716.46 = 2,659/x
  3. Step 3: Cross multiply
    4,867x = 6,716.46 × 2,659
  4. Step 4: Simplify right side
    4,867x = 17,859,067.14
  5. Step 5: Solve for x
    x = 17,859,067.14/4,867
  6. Step 6: Final answer
    x = 3,669.42

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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.