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Finding the Fourth Proportional to 5,676.73, 7,829.44 and 3,885.27

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Solution

The fourth proportional to 5,676.73, 7,829.44 and 3,885.27 is: 5,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.73 : 7,829.44 = 3,885.27 : x
  2. Step 2: Convert to fraction form
    5,676.73/7,829.44 = 3,885.27/x
  3. Step 3: Cross multiply
    5,676.73x = 7,829.44 × 3,885.27
  4. Step 4: Simplify right side
    5,676.73x = 30,419,488.35
  5. Step 5: Solve for x
    x = 30,419,488.35/5,676.73
  6. Step 6: Final answer
    x = 5,358.63

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1.5x scale

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.