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Finding the Fourth Proportional to 3,212.86, 4,819.68 and 1,238.03

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Solution

The fourth proportional to 3,212.86, 4,819.68 and 1,238.03 is: 1,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.86 : 4,819.68 = 1,238.03 : x
  2. Step 2: Convert to fraction form
    3,212.86/4,819.68 = 1,238.03/x
  3. Step 3: Cross multiply
    3,212.86x = 4,819.68 × 1,238.03
  4. Step 4: Simplify right side
    3,212.86x = 5,966,884.33
  5. Step 5: Solve for x
    x = 5,966,884.33/3,212.86
  6. Step 6: Final answer
    x = 1,857.19

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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.