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Finding the Fourth Proportional to 4,163.76, 6,273.42 and 3,768.93

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Solution

The fourth proportional to 4,163.76, 6,273.42 and 3,768.93 is: 5,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.76 : 6,273.42 = 3,768.93 : x
  2. Step 2: Convert to fraction form
    4,163.76/6,273.42 = 3,768.93/x
  3. Step 3: Cross multiply
    4,163.76x = 6,273.42 × 3,768.93
  4. Step 4: Simplify right side
    4,163.76x = 23,644,080.84
  5. Step 5: Solve for x
    x = 23,644,080.84/4,163.76
  6. Step 6: Final answer
    x = 5,678.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.