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Finding the Fourth Proportional to 4,611.87, 6,364.17 and 2,843.64

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Solution

The fourth proportional to 4,611.87, 6,364.17 and 2,843.64 is: 3,924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.87 : 6,364.17 = 2,843.64 : x
  2. Step 2: Convert to fraction form
    4,611.87/6,364.17 = 2,843.64/x
  3. Step 3: Cross multiply
    4,611.87x = 6,364.17 × 2,843.64
  4. Step 4: Simplify right side
    4,611.87x = 18,097,408.38
  5. Step 5: Solve for x
    x = 18,097,408.38/4,611.87
  6. Step 6: Final answer
    x = 3,924.09

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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.