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Finding the Fourth Proportional to 3,975.99, 5,964.10 and 1,896.21

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Solution

The fourth proportional to 3,975.99, 5,964.10 and 1,896.21 is: 2,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.99 : 5,964.10 = 1,896.21 : x
  2. Step 2: Convert to fraction form
    3,975.99/5,964.10 = 1,896.21/x
  3. Step 3: Cross multiply
    3,975.99x = 5,964.10 × 1,896.21
  4. Step 4: Simplify right side
    3,975.99x = 11,309,181.32
  5. Step 5: Solve for x
    x = 11,309,181.32/3,975.99
  6. Step 6: Final answer
    x = 2,844.37

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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.