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Finding the Fourth Proportional to 4,680.06, 6,999.42 and 4,163.70

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Solution

The fourth proportional to 4,680.06, 6,999.42 and 4,163.70 is: 6,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.06 : 6,999.42 = 4,163.70 : x
  2. Step 2: Convert to fraction form
    4,680.06/6,999.42 = 4,163.70/x
  3. Step 3: Cross multiply
    4,680.06x = 6,999.42 × 4,163.70
  4. Step 4: Simplify right side
    4,680.06x = 29,143,485.05
  5. Step 5: Solve for x
    x = 29,143,485.05/4,680.06
  6. Step 6: Final answer
    x = 6,227.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.