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Finding the Fourth Proportional to 5,899.95, 8,142.27 and 3,382.48

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Solution

The fourth proportional to 5,899.95, 8,142.27 and 3,382.48 is: 4,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.95 : 8,142.27 = 3,382.48 : x
  2. Step 2: Convert to fraction form
    5,899.95/8,142.27 = 3,382.48/x
  3. Step 3: Cross multiply
    5,899.95x = 8,142.27 × 3,382.48
  4. Step 4: Simplify right side
    5,899.95x = 27,541,065.43
  5. Step 5: Solve for x
    x = 27,541,065.43/5,899.95
  6. Step 6: Final answer
    x = 4,668.02

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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.