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Finding the Fourth Proportional to 5,822.96, 8,729.82 and 5,426.22

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Solution

The fourth proportional to 5,822.96, 8,729.82 and 5,426.22 is: 8,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.96 : 8,729.82 = 5,426.22 : x
  2. Step 2: Convert to fraction form
    5,822.96/8,729.82 = 5,426.22/x
  3. Step 3: Cross multiply
    5,822.96x = 8,729.82 × 5,426.22
  4. Step 4: Simplify right side
    5,822.96x = 47,369,923.88
  5. Step 5: Solve for x
    x = 47,369,923.88/5,822.96
  6. Step 6: Final answer
    x = 8,135.03

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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.