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Finding the Fourth Proportional to 6,278.48, 8,664.24 and 3,625.84

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Solution

The fourth proportional to 6,278.48, 8,664.24 and 3,625.84 is: 5,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.48 : 8,664.24 = 3,625.84 : x
  2. Step 2: Convert to fraction form
    6,278.48/8,664.24 = 3,625.84/x
  3. Step 3: Cross multiply
    6,278.48x = 8,664.24 × 3,625.84
  4. Step 4: Simplify right side
    6,278.48x = 31,415,147.96
  5. Step 5: Solve for x
    x = 31,415,147.96/6,278.48
  6. Step 6: Final answer
    x = 5,003.62

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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.