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Finding the Fourth Proportional to 3,968.25, 5,476.03 and 2,175.69

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Solution

The fourth proportional to 3,968.25, 5,476.03 and 2,175.69 is: 3,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.25 : 5,476.03 = 2,175.69 : x
  2. Step 2: Convert to fraction form
    3,968.25/5,476.03 = 2,175.69/x
  3. Step 3: Cross multiply
    3,968.25x = 5,476.03 × 2,175.69
  4. Step 4: Simplify right side
    3,968.25x = 11,914,157.40
  5. Step 5: Solve for x
    x = 11,914,157.40/3,968.25
  6. Step 6: Final answer
    x = 3,002.37

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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.