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Finding the Fourth Proportional to 4,635.14, 6,946.22 and 2,163.83

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Solution

The fourth proportional to 4,635.14, 6,946.22 and 2,163.83 is: 3,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.14 : 6,946.22 = 2,163.83 : x
  2. Step 2: Convert to fraction form
    4,635.14/6,946.22 = 2,163.83/x
  3. Step 3: Cross multiply
    4,635.14x = 6,946.22 × 2,163.83
  4. Step 4: Simplify right side
    4,635.14x = 15,030,409.90
  5. Step 5: Solve for x
    x = 15,030,409.90/4,635.14
  6. Step 6: Final answer
    x = 3,242.71

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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.