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Finding the Fourth Proportional to 5,819.94, 8,725.59 and 5,233.50

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Solution

The fourth proportional to 5,819.94, 8,725.59 and 5,233.50 is: 7,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.94 : 8,725.59 = 5,233.50 : x
  2. Step 2: Convert to fraction form
    5,819.94/8,725.59 = 5,233.50/x
  3. Step 3: Cross multiply
    5,819.94x = 8,725.59 × 5,233.50
  4. Step 4: Simplify right side
    5,819.94x = 45,665,375.27
  5. Step 5: Solve for x
    x = 45,665,375.27/5,819.94
  6. Step 6: Final answer
    x = 7,846.37

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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.