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Finding the Fourth Proportional to 6,180.44, 8,519.31 and 4,682.34

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Solution

The fourth proportional to 6,180.44, 8,519.31 and 4,682.34 is: 6,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.44 : 8,519.31 = 4,682.34 : x
  2. Step 2: Convert to fraction form
    6,180.44/8,519.31 = 4,682.34/x
  3. Step 3: Cross multiply
    6,180.44x = 8,519.31 × 4,682.34
  4. Step 4: Simplify right side
    6,180.44x = 39,890,305.99
  5. Step 5: Solve for x
    x = 39,890,305.99/6,180.44
  6. Step 6: Final answer
    x = 6,454.29

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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.