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Finding the Fourth Proportional to 6,649.72, 9,974.83 and 2,489.29

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Solution

The fourth proportional to 6,649.72, 9,974.83 and 2,489.29 is: 3,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.72 : 9,974.83 = 2,489.29 : x
  2. Step 2: Convert to fraction form
    6,649.72/9,974.83 = 2,489.29/x
  3. Step 3: Cross multiply
    6,649.72x = 9,974.83 × 2,489.29
  4. Step 4: Simplify right side
    6,649.72x = 24,830,244.57
  5. Step 5: Solve for x
    x = 24,830,244.57/6,649.72
  6. Step 6: Final answer
    x = 3,734.03

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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.