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Finding the Fourth Proportional to 3,969, 5,474.94 and 2,476.20

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Solution

The fourth proportional to 3,969, 5,474.94 and 2,476.20 is: 3,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969 : 5,474.94 = 2,476.20 : x
  2. Step 2: Convert to fraction form
    3,969/5,474.94 = 2,476.20/x
  3. Step 3: Cross multiply
    3,969x = 5,474.94 × 2,476.20
  4. Step 4: Simplify right side
    3,969x = 13,557,046.43
  5. Step 5: Solve for x
    x = 13,557,046.43/3,969
  6. Step 6: Final answer
    x = 3,415.73

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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.