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Finding the Fourth Proportional to 3,467.81, 5,214.20 and 3,197.21

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Solution

The fourth proportional to 3,467.81, 5,214.20 and 3,197.21 is: 4,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.81 : 5,214.20 = 3,197.21 : x
  2. Step 2: Convert to fraction form
    3,467.81/5,214.20 = 3,197.21/x
  3. Step 3: Cross multiply
    3,467.81x = 5,214.20 × 3,197.21
  4. Step 4: Simplify right side
    3,467.81x = 16,670,850.32
  5. Step 5: Solve for x
    x = 16,670,850.32/3,467.81
  6. Step 6: Final answer
    x = 4,807.32

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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.