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Finding the Fourth Proportional to 3,213.27, 4,819.37 and 904.83

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Solution

The fourth proportional to 3,213.27, 4,819.37 and 904.83 is: 1,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.27 : 4,819.37 = 904.83 : x
  2. Step 2: Convert to fraction form
    3,213.27/4,819.37 = 904.83/x
  3. Step 3: Cross multiply
    3,213.27x = 4,819.37 × 904.83
  4. Step 4: Simplify right side
    3,213.27x = 4,360,706.03
  5. Step 5: Solve for x
    x = 4,360,706.03/3,213.27
  6. Step 6: Final answer
    x = 1,357.09

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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.