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Finding the Fourth Proportional to 3,464.53, 5,198.96 and 1,384.22

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Solution

The fourth proportional to 3,464.53, 5,198.96 and 1,384.22 is: 2,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.53 : 5,198.96 = 1,384.22 : x
  2. Step 2: Convert to fraction form
    3,464.53/5,198.96 = 1,384.22/x
  3. Step 3: Cross multiply
    3,464.53x = 5,198.96 × 1,384.22
  4. Step 4: Simplify right side
    3,464.53x = 7,196,520.87
  5. Step 5: Solve for x
    x = 7,196,520.87/3,464.53
  6. Step 6: Final answer
    x = 2,077.20

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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.