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Finding the Fourth Proportional to 3,954.14, 5,449.22 and 2,833.16

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Solution

The fourth proportional to 3,954.14, 5,449.22 and 2,833.16 is: 3,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.14 : 5,449.22 = 2,833.16 : x
  2. Step 2: Convert to fraction form
    3,954.14/5,449.22 = 2,833.16/x
  3. Step 3: Cross multiply
    3,954.14x = 5,449.22 × 2,833.16
  4. Step 4: Simplify right side
    3,954.14x = 15,438,512.14
  5. Step 5: Solve for x
    x = 15,438,512.14/3,954.14
  6. Step 6: Final answer
    x = 3,904.39

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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.