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Finding the Fourth Proportional to 4,774.20, 7,163.10 and 2,311.20

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Solution

The fourth proportional to 4,774.20, 7,163.10 and 2,311.20 is: 3,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.20 : 7,163.10 = 2,311.20 : x
  2. Step 2: Convert to fraction form
    4,774.20/7,163.10 = 2,311.20/x
  3. Step 3: Cross multiply
    4,774.20x = 7,163.10 × 2,311.20
  4. Step 4: Simplify right side
    4,774.20x = 16,555,356.72
  5. Step 5: Solve for x
    x = 16,555,356.72/4,774.20
  6. Step 6: Final answer
    x = 3,467.67

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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.