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Finding the Fourth Proportional to 5,972.67, 8,240.94 and 3,614.31

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Solution

The fourth proportional to 5,972.67, 8,240.94 and 3,614.31 is: 4,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.67 : 8,240.94 = 3,614.31 : x
  2. Step 2: Convert to fraction form
    5,972.67/8,240.94 = 3,614.31/x
  3. Step 3: Cross multiply
    5,972.67x = 8,240.94 × 3,614.31
  4. Step 4: Simplify right side
    5,972.67x = 29,785,311.85
  5. Step 5: Solve for x
    x = 29,785,311.85/5,972.67
  6. Step 6: Final answer
    x = 4,986.93

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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.