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Finding the Fourth Proportional to 5,896.38, 8,141.22 and 3,661.32

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Solution

The fourth proportional to 5,896.38, 8,141.22 and 3,661.32 is: 5,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.38 : 8,141.22 = 3,661.32 : x
  2. Step 2: Convert to fraction form
    5,896.38/8,141.22 = 3,661.32/x
  3. Step 3: Cross multiply
    5,896.38x = 8,141.22 × 3,661.32
  4. Step 4: Simplify right side
    5,896.38x = 29,807,611.61
  5. Step 5: Solve for x
    x = 29,807,611.61/5,896.38
  6. Step 6: Final answer
    x = 5,055.24

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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.