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Finding the Fourth Proportional to 5,889.26, 8,128.60 and 4,493.90

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Solution

The fourth proportional to 5,889.26, 8,128.60 and 4,493.90 is: 6,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.26 : 8,128.60 = 4,493.90 : x
  2. Step 2: Convert to fraction form
    5,889.26/8,128.60 = 4,493.90/x
  3. Step 3: Cross multiply
    5,889.26x = 8,128.60 × 4,493.90
  4. Step 4: Simplify right side
    5,889.26x = 36,529,115.54
  5. Step 5: Solve for x
    x = 36,529,115.54/5,889.26
  6. Step 6: Final answer
    x = 6,202.67

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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.