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Finding the Fourth Proportional to 3,406.48, 5,108.12 and 2,020.02

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Solution

The fourth proportional to 3,406.48, 5,108.12 and 2,020.02 is: 3,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.48 : 5,108.12 = 2,020.02 : x
  2. Step 2: Convert to fraction form
    3,406.48/5,108.12 = 2,020.02/x
  3. Step 3: Cross multiply
    3,406.48x = 5,108.12 × 2,020.02
  4. Step 4: Simplify right side
    3,406.48x = 10,318,504.56
  5. Step 5: Solve for x
    x = 10,318,504.56/3,406.48
  6. Step 6: Final answer
    x = 3,029.08

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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.