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Finding the Fourth Proportional to 3,900.06, 5,382.45 and 3,227.76

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Solution

The fourth proportional to 3,900.06, 5,382.45 and 3,227.76 is: 4,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.06 : 5,382.45 = 3,227.76 : x
  2. Step 2: Convert to fraction form
    3,900.06/5,382.45 = 3,227.76/x
  3. Step 3: Cross multiply
    3,900.06x = 5,382.45 × 3,227.76
  4. Step 4: Simplify right side
    3,900.06x = 17,373,256.81
  5. Step 5: Solve for x
    x = 17,373,256.81/3,900.06
  6. Step 6: Final answer
    x = 4,454.61

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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.