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Finding the Fourth Proportional to 3,224.86, 4,836.56 and 1,579.76

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Solution

The fourth proportional to 3,224.86, 4,836.56 and 1,579.76 is: 2,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.86 : 4,836.56 = 1,579.76 : x
  2. Step 2: Convert to fraction form
    3,224.86/4,836.56 = 1,579.76/x
  3. Step 3: Cross multiply
    3,224.86x = 4,836.56 × 1,579.76
  4. Step 4: Simplify right side
    3,224.86x = 7,640,604.03
  5. Step 5: Solve for x
    x = 7,640,604.03/3,224.86
  6. Step 6: Final answer
    x = 2,369.28

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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.