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Finding the Fourth Proportional to 3,896.58, 5,377.50 and 3,634.14

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Solution

The fourth proportional to 3,896.58, 5,377.50 and 3,634.14 is: 5,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.58 : 5,377.50 = 3,634.14 : x
  2. Step 2: Convert to fraction form
    3,896.58/5,377.50 = 3,634.14/x
  3. Step 3: Cross multiply
    3,896.58x = 5,377.50 × 3,634.14
  4. Step 4: Simplify right side
    3,896.58x = 19,542,587.85
  5. Step 5: Solve for x
    x = 19,542,587.85/3,896.58
  6. Step 6: Final answer
    x = 5,015.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.