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Finding the Fourth Proportional to 3,063.66, 4,217.17 and 2,670

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Solution

The fourth proportional to 3,063.66, 4,217.17 and 2,670 is: 3,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.66 : 4,217.17 = 2,670 : x
  2. Step 2: Convert to fraction form
    3,063.66/4,217.17 = 2,670/x
  3. Step 3: Cross multiply
    3,063.66x = 4,217.17 × 2,670
  4. Step 4: Simplify right side
    3,063.66x = 11,259,843.90
  5. Step 5: Solve for x
    x = 11,259,843.90/3,063.66
  6. Step 6: Final answer
    x = 3,675.29

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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.