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Finding the Fourth Proportional to 5,919.27, 8,168 and 3,823.39

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Solution

The fourth proportional to 5,919.27, 8,168 and 3,823.39 is: 5,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.27 : 8,168 = 3,823.39 : x
  2. Step 2: Convert to fraction form
    5,919.27/8,168 = 3,823.39/x
  3. Step 3: Cross multiply
    5,919.27x = 8,168 × 3,823.39
  4. Step 4: Simplify right side
    5,919.27x = 31,229,449.52
  5. Step 5: Solve for x
    x = 31,229,449.52/5,919.27
  6. Step 6: Final answer
    x = 5,275.90

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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.