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Finding the Fourth Proportional to 4,534.38, 6,257.64 and 2,855.15

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Solution

The fourth proportional to 4,534.38, 6,257.64 and 2,855.15 is: 3,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.38 : 6,257.64 = 2,855.15 : x
  2. Step 2: Convert to fraction form
    4,534.38/6,257.64 = 2,855.15/x
  3. Step 3: Cross multiply
    4,534.38x = 6,257.64 × 2,855.15
  4. Step 4: Simplify right side
    4,534.38x = 17,866,469.56
  5. Step 5: Solve for x
    x = 17,866,469.56/4,534.38
  6. Step 6: Final answer
    x = 3,940.22

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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.