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Finding the Fourth Proportional to 5,900.83, 8,143.17 and 3,382.99

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Solution

The fourth proportional to 5,900.83, 8,143.17 and 3,382.99 is: 4,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.83 : 8,143.17 = 3,382.99 : x
  2. Step 2: Convert to fraction form
    5,900.83/8,143.17 = 3,382.99/x
  3. Step 3: Cross multiply
    5,900.83x = 8,143.17 × 3,382.99
  4. Step 4: Simplify right side
    5,900.83x = 27,548,266.12
  5. Step 5: Solve for x
    x = 27,548,266.12/5,900.83
  6. Step 6: Final answer
    x = 4,668.54

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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.