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Finding the Fourth Proportional to 5,827.81, 8,743.87 and 2,709.49

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Solution

The fourth proportional to 5,827.81, 8,743.87 and 2,709.49 is: 4,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.81 : 8,743.87 = 2,709.49 : x
  2. Step 2: Convert to fraction form
    5,827.81/8,743.87 = 2,709.49/x
  3. Step 3: Cross multiply
    5,827.81x = 8,743.87 × 2,709.49
  4. Step 4: Simplify right side
    5,827.81x = 23,691,377.83
  5. Step 5: Solve for x
    x = 23,691,377.83/5,827.81
  6. Step 6: Final answer
    x = 4,065.23

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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.