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Finding the Fourth Proportional to 5,796.30, 8,697.60 and 3,163.65

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Solution

The fourth proportional to 5,796.30, 8,697.60 and 3,163.65 is: 4,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.30 : 8,697.60 = 3,163.65 : x
  2. Step 2: Convert to fraction form
    5,796.30/8,697.60 = 3,163.65/x
  3. Step 3: Cross multiply
    5,796.30x = 8,697.60 × 3,163.65
  4. Step 4: Simplify right side
    5,796.30x = 27,516,162.24
  5. Step 5: Solve for x
    x = 27,516,162.24/5,796.30
  6. Step 6: Final answer
    x = 4,747.19

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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.