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Finding the Fourth Proportional to 3,894.53, 5,836.94 and 1,947.29

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Solution

The fourth proportional to 3,894.53, 5,836.94 and 1,947.29 is: 2,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.53 : 5,836.94 = 1,947.29 : x
  2. Step 2: Convert to fraction form
    3,894.53/5,836.94 = 1,947.29/x
  3. Step 3: Cross multiply
    3,894.53x = 5,836.94 × 1,947.29
  4. Step 4: Simplify right side
    3,894.53x = 11,366,227.05
  5. Step 5: Solve for x
    x = 11,366,227.05/3,894.53
  6. Step 6: Final answer
    x = 2,918.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.