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Finding the Fourth Proportional to 5,163.74, 7,745.07 and 2,043.08

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Solution

The fourth proportional to 5,163.74, 7,745.07 and 2,043.08 is: 3,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.74 : 7,745.07 = 2,043.08 : x
  2. Step 2: Convert to fraction form
    5,163.74/7,745.07 = 2,043.08/x
  3. Step 3: Cross multiply
    5,163.74x = 7,745.07 × 2,043.08
  4. Step 4: Simplify right side
    5,163.74x = 15,823,797.62
  5. Step 5: Solve for x
    x = 15,823,797.62/5,163.74
  6. Step 6: Final answer
    x = 3,064.41

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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.