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Finding the Fourth Proportional to 3,867.28, 5,796.82 and 1,676.18

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Solution

The fourth proportional to 3,867.28, 5,796.82 and 1,676.18 is: 2,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.28 : 5,796.82 = 1,676.18 : x
  2. Step 2: Convert to fraction form
    3,867.28/5,796.82 = 1,676.18/x
  3. Step 3: Cross multiply
    3,867.28x = 5,796.82 × 1,676.18
  4. Step 4: Simplify right side
    3,867.28x = 9,716,513.75
  5. Step 5: Solve for x
    x = 9,716,513.75/3,867.28
  6. Step 6: Final answer
    x = 2,512.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.