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Finding the Fourth Proportional to 3,900.56, 5,382.79 and 2,132.16

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Solution

The fourth proportional to 3,900.56, 5,382.79 and 2,132.16 is: 2,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.56 : 5,382.79 = 2,132.16 : x
  2. Step 2: Convert to fraction form
    3,900.56/5,382.79 = 2,132.16/x
  3. Step 3: Cross multiply
    3,900.56x = 5,382.79 × 2,132.16
  4. Step 4: Simplify right side
    3,900.56x = 11,476,944.01
  5. Step 5: Solve for x
    x = 11,476,944.01/3,900.56
  6. Step 6: Final answer
    x = 2,942.39

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Why These Related Problems?

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