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Finding the Fourth Proportional to 5,927, 8,179.98 and 3,443

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Solution

The fourth proportional to 5,927, 8,179.98 and 3,443 is: 4,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927 : 8,179.98 = 3,443 : x
  2. Step 2: Convert to fraction form
    5,927/8,179.98 = 3,443/x
  3. Step 3: Cross multiply
    5,927x = 8,179.98 × 3,443
  4. Step 4: Simplify right side
    5,927x = 28,163,671.14
  5. Step 5: Solve for x
    x = 28,163,671.14/5,927
  6. Step 6: Final answer
    x = 4,751.76

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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.