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Finding the Fourth Proportional to 3,900.53, 5,382.78 and 2,132.21

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Solution

The fourth proportional to 3,900.53, 5,382.78 and 2,132.21 is: 2,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.53 : 5,382.78 = 2,132.21 : x
  2. Step 2: Convert to fraction form
    3,900.53/5,382.78 = 2,132.21/x
  3. Step 3: Cross multiply
    3,900.53x = 5,382.78 × 2,132.21
  4. Step 4: Simplify right side
    3,900.53x = 11,477,217.34
  5. Step 5: Solve for x
    x = 11,477,217.34/3,900.53
  6. Step 6: Final answer
    x = 2,942.48

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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.