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Finding the Fourth Proportional to 5,458.32, 8,194.97 and 2,827.64

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Solution

The fourth proportional to 5,458.32, 8,194.97 and 2,827.64 is: 4,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.32 : 8,194.97 = 2,827.64 : x
  2. Step 2: Convert to fraction form
    5,458.32/8,194.97 = 2,827.64/x
  3. Step 3: Cross multiply
    5,458.32x = 8,194.97 × 2,827.64
  4. Step 4: Simplify right side
    5,458.32x = 23,172,404.84
  5. Step 5: Solve for x
    x = 23,172,404.84/5,458.32
  6. Step 6: Final answer
    x = 4,245.34

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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.