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Finding the Fourth Proportional to 5,899.26, 8,141.31 and 3,381.66

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Solution

The fourth proportional to 5,899.26, 8,141.31 and 3,381.66 is: 4,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.26 : 8,141.31 = 3,381.66 : x
  2. Step 2: Convert to fraction form
    5,899.26/8,141.31 = 3,381.66/x
  3. Step 3: Cross multiply
    5,899.26x = 8,141.31 × 3,381.66
  4. Step 4: Simplify right side
    5,899.26x = 27,531,142.37
  5. Step 5: Solve for x
    x = 27,531,142.37/5,899.26
  6. Step 6: Final answer
    x = 4,666.88

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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.