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Finding the Fourth Proportional to 5,908.12, 8,865.27 and 3,827.59

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Solution

The fourth proportional to 5,908.12, 8,865.27 and 3,827.59 is: 5,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.12 : 8,865.27 = 3,827.59 : x
  2. Step 2: Convert to fraction form
    5,908.12/8,865.27 = 3,827.59/x
  3. Step 3: Cross multiply
    5,908.12x = 8,865.27 × 3,827.59
  4. Step 4: Simplify right side
    5,908.12x = 33,932,618.80
  5. Step 5: Solve for x
    x = 33,932,618.80/5,908.12
  6. Step 6: Final answer
    x = 5,743.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.