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Finding the Fourth Proportional to 5,900.82, 8,142.82 and 3,382.80

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Solution

The fourth proportional to 5,900.82, 8,142.82 and 3,382.80 is: 4,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.82 : 8,142.82 = 3,382.80 : x
  2. Step 2: Convert to fraction form
    5,900.82/8,142.82 = 3,382.80/x
  3. Step 3: Cross multiply
    5,900.82x = 8,142.82 × 3,382.80
  4. Step 4: Simplify right side
    5,900.82x = 27,545,531.50
  5. Step 5: Solve for x
    x = 27,545,531.50/5,900.82
  6. Step 6: Final answer
    x = 4,668.09

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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.