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Finding the Fourth Proportional to 6,287.28, 8,676.43 and 3,454.73

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Solution

The fourth proportional to 6,287.28, 8,676.43 and 3,454.73 is: 4,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.28 : 8,676.43 = 3,454.73 : x
  2. Step 2: Convert to fraction form
    6,287.28/8,676.43 = 3,454.73/x
  3. Step 3: Cross multiply
    6,287.28x = 8,676.43 × 3,454.73
  4. Step 4: Simplify right side
    6,287.28x = 29,974,662.36
  5. Step 5: Solve for x
    x = 29,974,662.36/6,287.28
  6. Step 6: Final answer
    x = 4,767.51

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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.