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Finding the Fourth Proportional to 6,078.38, 8,388.24 and 3,425.72

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Solution

The fourth proportional to 6,078.38, 8,388.24 and 3,425.72 is: 4,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.38 : 8,388.24 = 3,425.72 : x
  2. Step 2: Convert to fraction form
    6,078.38/8,388.24 = 3,425.72/x
  3. Step 3: Cross multiply
    6,078.38x = 8,388.24 × 3,425.72
  4. Step 4: Simplify right side
    6,078.38x = 28,735,761.53
  5. Step 5: Solve for x
    x = 28,735,761.53/6,078.38
  6. Step 6: Final answer
    x = 4,727.54

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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.