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Finding the Fourth Proportional to 3,644.67, 5,024.26 and 2,579.12

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Solution

The fourth proportional to 3,644.67, 5,024.26 and 2,579.12 is: 3,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.67 : 5,024.26 = 2,579.12 : x
  2. Step 2: Convert to fraction form
    3,644.67/5,024.26 = 2,579.12/x
  3. Step 3: Cross multiply
    3,644.67x = 5,024.26 × 2,579.12
  4. Step 4: Simplify right side
    3,644.67x = 12,958,169.45
  5. Step 5: Solve for x
    x = 12,958,169.45/3,644.67
  6. Step 6: Final answer
    x = 3,555.38

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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.