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Finding the Fourth Proportional to 6,490.19, 9,736.50 and 3,027.44

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Solution

The fourth proportional to 6,490.19, 9,736.50 and 3,027.44 is: 4,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.19 : 9,736.50 = 3,027.44 : x
  2. Step 2: Convert to fraction form
    6,490.19/9,736.50 = 3,027.44/x
  3. Step 3: Cross multiply
    6,490.19x = 9,736.50 × 3,027.44
  4. Step 4: Simplify right side
    6,490.19x = 29,476,669.56
  5. Step 5: Solve for x
    x = 29,476,669.56/6,490.19
  6. Step 6: Final answer
    x = 4,541.73

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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.