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Finding the Fourth Proportional to 3,940.38, 5,437.74 and 2,171.99

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Solution

The fourth proportional to 3,940.38, 5,437.74 and 2,171.99 is: 2,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.38 : 5,437.74 = 2,171.99 : x
  2. Step 2: Convert to fraction form
    3,940.38/5,437.74 = 2,171.99/x
  3. Step 3: Cross multiply
    3,940.38x = 5,437.74 × 2,171.99
  4. Step 4: Simplify right side
    3,940.38x = 11,810,689.71
  5. Step 5: Solve for x
    x = 11,810,689.71/3,940.38
  6. Step 6: Final answer
    x = 2,997.35

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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.