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Finding the Fourth Proportional to 3,844.87, 5,768.21 and 1,380.24

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Solution

The fourth proportional to 3,844.87, 5,768.21 and 1,380.24 is: 2,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.87 : 5,768.21 = 1,380.24 : x
  2. Step 2: Convert to fraction form
    3,844.87/5,768.21 = 1,380.24/x
  3. Step 3: Cross multiply
    3,844.87x = 5,768.21 × 1,380.24
  4. Step 4: Simplify right side
    3,844.87x = 7,961,517.62
  5. Step 5: Solve for x
    x = 7,961,517.62/3,844.87
  6. Step 6: Final answer
    x = 2,070.69

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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.