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Finding the Fourth Proportional to 3,896.14, 5,844.24 and 1,429.90

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Solution

The fourth proportional to 3,896.14, 5,844.24 and 1,429.90 is: 2,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.14 : 5,844.24 = 1,429.90 : x
  2. Step 2: Convert to fraction form
    3,896.14/5,844.24 = 1,429.90/x
  3. Step 3: Cross multiply
    3,896.14x = 5,844.24 × 1,429.90
  4. Step 4: Simplify right side
    3,896.14x = 8,356,678.78
  5. Step 5: Solve for x
    x = 8,356,678.78/3,896.14
  6. Step 6: Final answer
    x = 2,144.86

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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.