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Finding the Fourth Proportional to 6,178.83, 8,517.87 and 4,079.31

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Solution

The fourth proportional to 6,178.83, 8,517.87 and 4,079.31 is: 5,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.83 : 8,517.87 = 4,079.31 : x
  2. Step 2: Convert to fraction form
    6,178.83/8,517.87 = 4,079.31/x
  3. Step 3: Cross multiply
    6,178.83x = 8,517.87 × 4,079.31
  4. Step 4: Simplify right side
    6,178.83x = 34,747,032.27
  5. Step 5: Solve for x
    x = 34,747,032.27/6,178.83
  6. Step 6: Final answer
    x = 5,623.56

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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.