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Finding the Fourth Proportional to 5,729.81, 8,594.87 and 2,608.20

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Solution

The fourth proportional to 5,729.81, 8,594.87 and 2,608.20 is: 3,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.81 : 8,594.87 = 2,608.20 : x
  2. Step 2: Convert to fraction form
    5,729.81/8,594.87 = 2,608.20/x
  3. Step 3: Cross multiply
    5,729.81x = 8,594.87 × 2,608.20
  4. Step 4: Simplify right side
    5,729.81x = 22,417,141.56
  5. Step 5: Solve for x
    x = 22,417,141.56/5,729.81
  6. Step 6: Final answer
    x = 3,912.37

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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.