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Finding the Fourth Proportional to 6,078.56, 8,384.24 and 3,721.86

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Solution

The fourth proportional to 6,078.56, 8,384.24 and 3,721.86 is: 5,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.56 : 8,384.24 = 3,721.86 : x
  2. Step 2: Convert to fraction form
    6,078.56/8,384.24 = 3,721.86/x
  3. Step 3: Cross multiply
    6,078.56x = 8,384.24 × 3,721.86
  4. Step 4: Simplify right side
    6,078.56x = 31,204,976.79
  5. Step 5: Solve for x
    x = 31,204,976.79/6,078.56
  6. Step 6: Final answer
    x = 5,133.62

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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.