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Finding the Fourth Proportional to 3,940.68, 5,437.76 and 2,171.84

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Solution

The fourth proportional to 3,940.68, 5,437.76 and 2,171.84 is: 2,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.68 : 5,437.76 = 2,171.84 : x
  2. Step 2: Convert to fraction form
    3,940.68/5,437.76 = 2,171.84/x
  3. Step 3: Cross multiply
    3,940.68x = 5,437.76 × 2,171.84
  4. Step 4: Simplify right side
    3,940.68x = 11,809,944.68
  5. Step 5: Solve for x
    x = 11,809,944.68/3,940.68
  6. Step 6: Final answer
    x = 2,996.93

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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.