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Finding the Fourth Proportional to 3,649.38, 5,474.09 and 2,005.03

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Solution

The fourth proportional to 3,649.38, 5,474.09 and 2,005.03 is: 3,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.38 : 5,474.09 = 2,005.03 : x
  2. Step 2: Convert to fraction form
    3,649.38/5,474.09 = 2,005.03/x
  3. Step 3: Cross multiply
    3,649.38x = 5,474.09 × 2,005.03
  4. Step 4: Simplify right side
    3,649.38x = 10,975,690.96
  5. Step 5: Solve for x
    x = 10,975,690.96/3,649.38
  6. Step 6: Final answer
    x = 3,007.55

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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.