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Finding the Fourth Proportional to 4,488, 6,194.17 and 2,600.43

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Solution

The fourth proportional to 4,488, 6,194.17 and 2,600.43 is: 3,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488 : 6,194.17 = 2,600.43 : x
  2. Step 2: Convert to fraction form
    4,488/6,194.17 = 2,600.43/x
  3. Step 3: Cross multiply
    4,488x = 6,194.17 × 2,600.43
  4. Step 4: Simplify right side
    4,488x = 16,107,505.49
  5. Step 5: Solve for x
    x = 16,107,505.49/4,488
  6. Step 6: Final answer
    x = 3,589.02

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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.