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Finding the Fourth Proportional to 5,886.36, 8,121.54 and 3,896.28

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Solution

The fourth proportional to 5,886.36, 8,121.54 and 3,896.28 is: 5,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.36 : 8,121.54 = 3,896.28 : x
  2. Step 2: Convert to fraction form
    5,886.36/8,121.54 = 3,896.28/x
  3. Step 3: Cross multiply
    5,886.36x = 8,121.54 × 3,896.28
  4. Step 4: Simplify right side
    5,886.36x = 31,643,793.87
  5. Step 5: Solve for x
    x = 31,643,793.87/5,886.36
  6. Step 6: Final answer
    x = 5,375.78

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