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Finding the Fourth Proportional to 5,682.33, 7,839.09 and 3,323.43

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Solution

The fourth proportional to 5,682.33, 7,839.09 and 3,323.43 is: 4,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.33 : 7,839.09 = 3,323.43 : x
  2. Step 2: Convert to fraction form
    5,682.33/7,839.09 = 3,323.43/x
  3. Step 3: Cross multiply
    5,682.33x = 7,839.09 × 3,323.43
  4. Step 4: Simplify right side
    5,682.33x = 26,052,666.88
  5. Step 5: Solve for x
    x = 26,052,666.88/5,682.33
  6. Step 6: Final answer
    x = 4,584.86

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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.