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Finding the Fourth Proportional to 3,900.50, 5,382.69 and 2,245.46

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Solution

The fourth proportional to 3,900.50, 5,382.69 and 2,245.46 is: 3,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.50 : 5,382.69 = 2,245.46 : x
  2. Step 2: Convert to fraction form
    3,900.50/5,382.69 = 2,245.46/x
  3. Step 3: Cross multiply
    3,900.50x = 5,382.69 × 2,245.46
  4. Step 4: Simplify right side
    3,900.50x = 12,086,615.09
  5. Step 5: Solve for x
    x = 12,086,615.09/3,900.50
  6. Step 6: Final answer
    x = 3,098.73

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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.