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Finding the Fourth Proportional to 4,283.78, 6,425.03 and 1,163.97

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Solution

The fourth proportional to 4,283.78, 6,425.03 and 1,163.97 is: 1,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.78 : 6,425.03 = 1,163.97 : x
  2. Step 2: Convert to fraction form
    4,283.78/6,425.03 = 1,163.97/x
  3. Step 3: Cross multiply
    4,283.78x = 6,425.03 × 1,163.97
  4. Step 4: Simplify right side
    4,283.78x = 7,478,545.08
  5. Step 5: Solve for x
    x = 7,478,545.08/4,283.78
  6. Step 6: Final answer
    x = 1,745.78

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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.