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Finding the Fourth Proportional to 6,023.30, 8,305.44 and 3,782.43

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Solution

The fourth proportional to 6,023.30, 8,305.44 and 3,782.43 is: 5,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.30 : 8,305.44 = 3,782.43 : x
  2. Step 2: Convert to fraction form
    6,023.30/8,305.44 = 3,782.43/x
  3. Step 3: Cross multiply
    6,023.30x = 8,305.44 × 3,782.43
  4. Step 4: Simplify right side
    6,023.30x = 31,414,731.24
  5. Step 5: Solve for x
    x = 31,414,731.24/6,023.30
  6. Step 6: Final answer
    x = 5,215.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.