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Finding the Fourth Proportional to 3,469.53, 5,204.99 and 1,278.27

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Solution

The fourth proportional to 3,469.53, 5,204.99 and 1,278.27 is: 1,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.53 : 5,204.99 = 1,278.27 : x
  2. Step 2: Convert to fraction form
    3,469.53/5,204.99 = 1,278.27/x
  3. Step 3: Cross multiply
    3,469.53x = 5,204.99 × 1,278.27
  4. Step 4: Simplify right side
    3,469.53x = 6,653,382.57
  5. Step 5: Solve for x
    x = 6,653,382.57/3,469.53
  6. Step 6: Final answer
    x = 1,917.66

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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.