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Finding the Fourth Proportional to 4,252.62, 6,381.11 and 1,755.66

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Solution

The fourth proportional to 4,252.62, 6,381.11 and 1,755.66 is: 2,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.62 : 6,381.11 = 1,755.66 : x
  2. Step 2: Convert to fraction form
    4,252.62/6,381.11 = 1,755.66/x
  3. Step 3: Cross multiply
    4,252.62x = 6,381.11 × 1,755.66
  4. Step 4: Simplify right side
    4,252.62x = 11,203,059.58
  5. Step 5: Solve for x
    x = 11,203,059.58/4,252.62
  6. Step 6: Final answer
    x = 2,634.39

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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.