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Finding the Fourth Proportional to 3,213.00, 4,820.26 and 1,021.73

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Solution

The fourth proportional to 3,213.00, 4,820.26 and 1,021.73 is: 1,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.00 : 4,820.26 = 1,021.73 : x
  2. Step 2: Convert to fraction form
    3,213.00/4,820.26 = 1,021.73/x
  3. Step 3: Cross multiply
    3,213.00x = 4,820.26 × 1,021.73
  4. Step 4: Simplify right side
    3,213.00x = 4,924,975.04
  5. Step 5: Solve for x
    x = 4,924,975.04/3,213.00
  6. Step 6: Final answer
    x = 1,532.83

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