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Finding the Fourth Proportional to 4,663, 6,434.97 and 2,538.55

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Solution

The fourth proportional to 4,663, 6,434.97 and 2,538.55 is: 3,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663 : 6,434.97 = 2,538.55 : x
  2. Step 2: Convert to fraction form
    4,663/6,434.97 = 2,538.55/x
  3. Step 3: Cross multiply
    4,663x = 6,434.97 × 2,538.55
  4. Step 4: Simplify right side
    4,663x = 16,335,493.09
  5. Step 5: Solve for x
    x = 16,335,493.09/4,663
  6. Step 6: Final answer
    x = 3,503.22

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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.