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Finding the Fourth Proportional to 3,314.63, 4,573.26 and 2,136.39

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Solution

The fourth proportional to 3,314.63, 4,573.26 and 2,136.39 is: 2,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.63 : 4,573.26 = 2,136.39 : x
  2. Step 2: Convert to fraction form
    3,314.63/4,573.26 = 2,136.39/x
  3. Step 3: Cross multiply
    3,314.63x = 4,573.26 × 2,136.39
  4. Step 4: Simplify right side
    3,314.63x = 9,770,249.78
  5. Step 5: Solve for x
    x = 9,770,249.78/3,314.63
  6. Step 6: Final answer
    x = 2,947.61

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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.