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Finding the Fourth Proportional to 3,900.74, 5,382.91 and 2,132.31

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Solution

The fourth proportional to 3,900.74, 5,382.91 and 2,132.31 is: 2,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.74 : 5,382.91 = 2,132.31 : x
  2. Step 2: Convert to fraction form
    3,900.74/5,382.91 = 2,132.31/x
  3. Step 3: Cross multiply
    3,900.74x = 5,382.91 × 2,132.31
  4. Step 4: Simplify right side
    3,900.74x = 11,478,035.49
  5. Step 5: Solve for x
    x = 11,478,035.49/3,900.74
  6. Step 6: Final answer
    x = 2,942.53

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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.