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Finding the Fourth Proportional to 5,676.84, 8,508 and 3,213.03

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Solution

The fourth proportional to 5,676.84, 8,508 and 3,213.03 is: 4,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.84 : 8,508 = 3,213.03 : x
  2. Step 2: Convert to fraction form
    5,676.84/8,508 = 3,213.03/x
  3. Step 3: Cross multiply
    5,676.84x = 8,508 × 3,213.03
  4. Step 4: Simplify right side
    5,676.84x = 27,336,459.24
  5. Step 5: Solve for x
    x = 27,336,459.24/5,676.84
  6. Step 6: Final answer
    x = 4,815.44

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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.