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Finding the Fourth Proportional to 3,971, 5,480.33 and 2,202.95

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Solution

The fourth proportional to 3,971, 5,480.33 and 2,202.95 is: 3,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971 : 5,480.33 = 2,202.95 : x
  2. Step 2: Convert to fraction form
    3,971/5,480.33 = 2,202.95/x
  3. Step 3: Cross multiply
    3,971x = 5,480.33 × 2,202.95
  4. Step 4: Simplify right side
    3,971x = 12,072,892.97
  5. Step 5: Solve for x
    x = 12,072,892.97/3,971
  6. Step 6: Final answer
    x = 3,040.27

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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.