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Finding the Fourth Proportional to 5,797.26, 8,697.42 and 2,509.59

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Solution

The fourth proportional to 5,797.26, 8,697.42 and 2,509.59 is: 3,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.26 : 8,697.42 = 2,509.59 : x
  2. Step 2: Convert to fraction form
    5,797.26/8,697.42 = 2,509.59/x
  3. Step 3: Cross multiply
    5,797.26x = 8,697.42 × 2,509.59
  4. Step 4: Simplify right side
    5,797.26x = 21,826,958.26
  5. Step 5: Solve for x
    x = 21,826,958.26/5,797.26
  6. Step 6: Final answer
    x = 3,765.05

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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.