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Finding the Fourth Proportional to 5,896.64, 8,137.40 and 3,243.98

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Solution

The fourth proportional to 5,896.64, 8,137.40 and 3,243.98 is: 4,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.64 : 8,137.40 = 3,243.98 : x
  2. Step 2: Convert to fraction form
    5,896.64/8,137.40 = 3,243.98/x
  3. Step 3: Cross multiply
    5,896.64x = 8,137.40 × 3,243.98
  4. Step 4: Simplify right side
    5,896.64x = 26,397,505.95
  5. Step 5: Solve for x
    x = 26,397,505.95/5,896.64
  6. Step 6: Final answer
    x = 4,476.71

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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.