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Finding the Fourth Proportional to 3,467.90, 5,200.02 and 2,983.11

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Solution

The fourth proportional to 3,467.90, 5,200.02 and 2,983.11 is: 4,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.90 : 5,200.02 = 2,983.11 : x
  2. Step 2: Convert to fraction form
    3,467.90/5,200.02 = 2,983.11/x
  3. Step 3: Cross multiply
    3,467.90x = 5,200.02 × 2,983.11
  4. Step 4: Simplify right side
    3,467.90x = 15,512,231.66
  5. Step 5: Solve for x
    x = 15,512,231.66/3,467.90
  6. Step 6: Final answer
    x = 4,473.09

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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.