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Finding the Fourth Proportional to 6,276.24, 8,661.18 and 3,481.74

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Solution

The fourth proportional to 6,276.24, 8,661.18 and 3,481.74 is: 4,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.24 : 8,661.18 = 3,481.74 : x
  2. Step 2: Convert to fraction form
    6,276.24/8,661.18 = 3,481.74/x
  3. Step 3: Cross multiply
    6,276.24x = 8,661.18 × 3,481.74
  4. Step 4: Simplify right side
    6,276.24x = 30,155,976.85
  5. Step 5: Solve for x
    x = 30,155,976.85/6,276.24
  6. Step 6: Final answer
    x = 4,804.78

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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.