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Finding the Fourth Proportional to 3,900.22, 5,382.32 and 2,131.87

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Solution

The fourth proportional to 3,900.22, 5,382.32 and 2,131.87 is: 2,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.22 : 5,382.32 = 2,131.87 : x
  2. Step 2: Convert to fraction form
    3,900.22/5,382.32 = 2,131.87/x
  3. Step 3: Cross multiply
    3,900.22x = 5,382.32 × 2,131.87
  4. Step 4: Simplify right side
    3,900.22x = 11,474,406.54
  5. Step 5: Solve for x
    x = 11,474,406.54/3,900.22
  6. Step 6: Final answer
    x = 2,941.99

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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.