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Finding the Fourth Proportional to 5,367, 8,044.74 and 2,246.22

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Solution

The fourth proportional to 5,367, 8,044.74 and 2,246.22 is: 3,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367 : 8,044.74 = 2,246.22 : x
  2. Step 2: Convert to fraction form
    5,367/8,044.74 = 2,246.22/x
  3. Step 3: Cross multiply
    5,367x = 8,044.74 × 2,246.22
  4. Step 4: Simplify right side
    5,367x = 18,070,255.88
  5. Step 5: Solve for x
    x = 18,070,255.88/5,367
  6. Step 6: Final answer
    x = 3,366.92

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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.