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Finding the Fourth Proportional to 3,398.72, 5,107.70 and 2,012.30

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Solution

The fourth proportional to 3,398.72, 5,107.70 and 2,012.30 is: 3,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.72 : 5,107.70 = 2,012.30 : x
  2. Step 2: Convert to fraction form
    3,398.72/5,107.70 = 2,012.30/x
  3. Step 3: Cross multiply
    3,398.72x = 5,107.70 × 2,012.30
  4. Step 4: Simplify right side
    3,398.72x = 10,278,189.11
  5. Step 5: Solve for x
    x = 10,278,189.11/3,398.72
  6. Step 6: Final answer
    x = 3,024.14

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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.