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Finding the Fourth Proportional to 5,896.71, 8,844.24 and 2,198.46

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Solution

The fourth proportional to 5,896.71, 8,844.24 and 2,198.46 is: 3,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.71 : 8,844.24 = 2,198.46 : x
  2. Step 2: Convert to fraction form
    5,896.71/8,844.24 = 2,198.46/x
  3. Step 3: Cross multiply
    5,896.71x = 8,844.24 × 2,198.46
  4. Step 4: Simplify right side
    5,896.71x = 19,443,707.87
  5. Step 5: Solve for x
    x = 19,443,707.87/5,896.71
  6. Step 6: Final answer
    x = 3,297.38

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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.