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Finding the Fourth Proportional to 3,213.38, 4,821 and 1,364.78

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Solution

The fourth proportional to 3,213.38, 4,821 and 1,364.78 is: 2,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.38 : 4,821 = 1,364.78 : x
  2. Step 2: Convert to fraction form
    3,213.38/4,821 = 1,364.78/x
  3. Step 3: Cross multiply
    3,213.38x = 4,821 × 1,364.78
  4. Step 4: Simplify right side
    3,213.38x = 6,579,604.38
  5. Step 5: Solve for x
    x = 6,579,604.38/3,213.38
  6. Step 6: Final answer
    x = 2,047.56

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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.