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Finding the Fourth Proportional to 3,612.80, 5,424.67 and 3,204.56

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Solution

The fourth proportional to 3,612.80, 5,424.67 and 3,204.56 is: 4,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.80 : 5,424.67 = 3,204.56 : x
  2. Step 2: Convert to fraction form
    3,612.80/5,424.67 = 3,204.56/x
  3. Step 3: Cross multiply
    3,612.80x = 5,424.67 × 3,204.56
  4. Step 4: Simplify right side
    3,612.80x = 17,383,698.06
  5. Step 5: Solve for x
    x = 17,383,698.06/3,612.80
  6. Step 6: Final answer
    x = 4,811.69

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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.