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Finding the Fourth Proportional to 6,138.41, 8,469.54 and 3,620.61

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Solution

The fourth proportional to 6,138.41, 8,469.54 and 3,620.61 is: 4,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.41 : 8,469.54 = 3,620.61 : x
  2. Step 2: Convert to fraction form
    6,138.41/8,469.54 = 3,620.61/x
  3. Step 3: Cross multiply
    6,138.41x = 8,469.54 × 3,620.61
  4. Step 4: Simplify right side
    6,138.41x = 30,664,901.22
  5. Step 5: Solve for x
    x = 30,664,901.22/6,138.41
  6. Step 6: Final answer
    x = 4,995.58

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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.