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Finding the Fourth Proportional to 3,867.44, 5,336.52 and 2,296.16

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Solution

The fourth proportional to 3,867.44, 5,336.52 and 2,296.16 is: 3,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.44 : 5,336.52 = 2,296.16 : x
  2. Step 2: Convert to fraction form
    3,867.44/5,336.52 = 2,296.16/x
  3. Step 3: Cross multiply
    3,867.44x = 5,336.52 × 2,296.16
  4. Step 4: Simplify right side
    3,867.44x = 12,253,503.76
  5. Step 5: Solve for x
    x = 12,253,503.76/3,867.44
  6. Step 6: Final answer
    x = 3,168.38

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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.