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Finding the Fourth Proportional to 6,078.27, 8,387.67 and 3,425.82

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Solution

The fourth proportional to 6,078.27, 8,387.67 and 3,425.82 is: 4,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.27 : 8,387.67 = 3,425.82 : x
  2. Step 2: Convert to fraction form
    6,078.27/8,387.67 = 3,425.82/x
  3. Step 3: Cross multiply
    6,078.27x = 8,387.67 × 3,425.82
  4. Step 4: Simplify right side
    6,078.27x = 28,734,647.64
  5. Step 5: Solve for x
    x = 28,734,647.64/6,078.27
  6. Step 6: Final answer
    x = 4,727.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.