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Finding the Fourth Proportional to 5,709.34, 8,571.89 and 3,950.02

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Solution

The fourth proportional to 5,709.34, 8,571.89 and 3,950.02 is: 5,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.34 : 8,571.89 = 3,950.02 : x
  2. Step 2: Convert to fraction form
    5,709.34/8,571.89 = 3,950.02/x
  3. Step 3: Cross multiply
    5,709.34x = 8,571.89 × 3,950.02
  4. Step 4: Simplify right side
    5,709.34x = 33,859,136.94
  5. Step 5: Solve for x
    x = 33,859,136.94/5,709.34
  6. Step 6: Final answer
    x = 5,930.48

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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.