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Finding the Fourth Proportional to 3,540.28, 4,885.36 and 1,968.38

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Solution

The fourth proportional to 3,540.28, 4,885.36 and 1,968.38 is: 2,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.28 : 4,885.36 = 1,968.38 : x
  2. Step 2: Convert to fraction form
    3,540.28/4,885.36 = 1,968.38/x
  3. Step 3: Cross multiply
    3,540.28x = 4,885.36 × 1,968.38
  4. Step 4: Simplify right side
    3,540.28x = 9,616,244.92
  5. Step 5: Solve for x
    x = 9,616,244.92/3,540.28
  6. Step 6: Final answer
    x = 2,716.24

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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.