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Finding the Fourth Proportional to 6,171.39, 8,505.27 and 5,454.54

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Solution

The fourth proportional to 6,171.39, 8,505.27 and 5,454.54 is: 7,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.39 : 8,505.27 = 5,454.54 : x
  2. Step 2: Convert to fraction form
    6,171.39/8,505.27 = 5,454.54/x
  3. Step 3: Cross multiply
    6,171.39x = 8,505.27 × 5,454.54
  4. Step 4: Simplify right side
    6,171.39x = 46,392,335.43
  5. Step 5: Solve for x
    x = 46,392,335.43/6,171.39
  6. Step 6: Final answer
    x = 7,517.32

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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.