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Finding the Fourth Proportional to 3,900.46, 5,382.41 and 2,221.86

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Solution

The fourth proportional to 3,900.46, 5,382.41 and 2,221.86 is: 3,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.46 : 5,382.41 = 2,221.86 : x
  2. Step 2: Convert to fraction form
    3,900.46/5,382.41 = 2,221.86/x
  3. Step 3: Cross multiply
    3,900.46x = 5,382.41 × 2,221.86
  4. Step 4: Simplify right side
    3,900.46x = 11,958,940.77
  5. Step 5: Solve for x
    x = 11,958,940.77/3,900.46
  6. Step 6: Final answer
    x = 3,066.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.