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Finding the Fourth Proportional to 3,899.54, 5,381.32 and 2,131.14

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Solution

The fourth proportional to 3,899.54, 5,381.32 and 2,131.14 is: 2,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.54 : 5,381.32 = 2,131.14 : x
  2. Step 2: Convert to fraction form
    3,899.54/5,381.32 = 2,131.14/x
  3. Step 3: Cross multiply
    3,899.54x = 5,381.32 × 2,131.14
  4. Step 4: Simplify right side
    3,899.54x = 11,468,365.15
  5. Step 5: Solve for x
    x = 11,468,365.15/3,899.54
  6. Step 6: Final answer
    x = 2,940.95

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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.