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Finding the Fourth Proportional to 3,797.47, 5,694.18 and 1,947.84

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Solution

The fourth proportional to 3,797.47, 5,694.18 and 1,947.84 is: 2,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.47 : 5,694.18 = 1,947.84 : x
  2. Step 2: Convert to fraction form
    3,797.47/5,694.18 = 1,947.84/x
  3. Step 3: Cross multiply
    3,797.47x = 5,694.18 × 1,947.84
  4. Step 4: Simplify right side
    3,797.47x = 11,091,351.57
  5. Step 5: Solve for x
    x = 11,091,351.57/3,797.47
  6. Step 6: Final answer
    x = 2,920.72

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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.