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Finding the Fourth Proportional to 3,212.08, 4,819.20 and 1,021.12

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Solution

The fourth proportional to 3,212.08, 4,819.20 and 1,021.12 is: 1,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.08 : 4,819.20 = 1,021.12 : x
  2. Step 2: Convert to fraction form
    3,212.08/4,819.20 = 1,021.12/x
  3. Step 3: Cross multiply
    3,212.08x = 4,819.20 × 1,021.12
  4. Step 4: Simplify right side
    3,212.08x = 4,920,981.50
  5. Step 5: Solve for x
    x = 4,920,981.50/3,212.08
  6. Step 6: Final answer
    x = 1,532.02

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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.