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Finding the Fourth Proportional to 4,393.46, 6,589.94 and 3,163.06

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Solution

The fourth proportional to 4,393.46, 6,589.94 and 3,163.06 is: 4,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.46 : 6,589.94 = 3,163.06 : x
  2. Step 2: Convert to fraction form
    4,393.46/6,589.94 = 3,163.06/x
  3. Step 3: Cross multiply
    4,393.46x = 6,589.94 × 3,163.06
  4. Step 4: Simplify right side
    4,393.46x = 20,844,375.62
  5. Step 5: Solve for x
    x = 20,844,375.62/4,393.46
  6. Step 6: Final answer
    x = 4,744.41

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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.