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Finding the Fourth Proportional to 3,846.94, 5,768.35 and 1,993.46

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Solution

The fourth proportional to 3,846.94, 5,768.35 and 1,993.46 is: 2,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.94 : 5,768.35 = 1,993.46 : x
  2. Step 2: Convert to fraction form
    3,846.94/5,768.35 = 1,993.46/x
  3. Step 3: Cross multiply
    3,846.94x = 5,768.35 × 1,993.46
  4. Step 4: Simplify right side
    3,846.94x = 11,498,936.18
  5. Step 5: Solve for x
    x = 11,498,936.18/3,846.94
  6. Step 6: Final answer
    x = 2,989.12

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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.