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Finding the Fourth Proportional to 5,367, 8,053.38 and 4,071

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Solution

The fourth proportional to 5,367, 8,053.38 and 4,071 is: 6,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367 : 8,053.38 = 4,071 : x
  2. Step 2: Convert to fraction form
    5,367/8,053.38 = 4,071/x
  3. Step 3: Cross multiply
    5,367x = 8,053.38 × 4,071
  4. Step 4: Simplify right side
    5,367x = 32,785,309.98
  5. Step 5: Solve for x
    x = 32,785,309.98/5,367
  6. Step 6: Final answer
    x = 6,108.68

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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.