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Finding the Fourth Proportional to 5,523.12, 8,284.68 and 3,213

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Solution

The fourth proportional to 5,523.12, 8,284.68 and 3,213 is: 4,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.12 : 8,284.68 = 3,213 : x
  2. Step 2: Convert to fraction form
    5,523.12/8,284.68 = 3,213/x
  3. Step 3: Cross multiply
    5,523.12x = 8,284.68 × 3,213
  4. Step 4: Simplify right side
    5,523.12x = 26,618,676.84
  5. Step 5: Solve for x
    x = 26,618,676.84/5,523.12
  6. Step 6: Final answer
    x = 4,819.50

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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.