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Finding the Fourth Proportional to 4,644.12, 6,975.82 and 3,755.66

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Solution

The fourth proportional to 4,644.12, 6,975.82 and 3,755.66 is: 5,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.12 : 6,975.82 = 3,755.66 : x
  2. Step 2: Convert to fraction form
    4,644.12/6,975.82 = 3,755.66/x
  3. Step 3: Cross multiply
    4,644.12x = 6,975.82 × 3,755.66
  4. Step 4: Simplify right side
    4,644.12x = 26,198,777.96
  5. Step 5: Solve for x
    x = 26,198,777.96/4,644.12
  6. Step 6: Final answer
    x = 5,641.27

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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.