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Finding the Fourth Proportional to 4,494.53, 6,736.94 and 1,863.79

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Solution

The fourth proportional to 4,494.53, 6,736.94 and 1,863.79 is: 2,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.53 : 6,736.94 = 1,863.79 : x
  2. Step 2: Convert to fraction form
    4,494.53/6,736.94 = 1,863.79/x
  3. Step 3: Cross multiply
    4,494.53x = 6,736.94 × 1,863.79
  4. Step 4: Simplify right side
    4,494.53x = 12,556,198.40
  5. Step 5: Solve for x
    x = 12,556,198.40/4,494.53
  6. Step 6: Final answer
    x = 2,793.66

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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.