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Finding the Fourth Proportional to 6,257.70, 8,634.84 and 3,463.02

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Solution

The fourth proportional to 6,257.70, 8,634.84 and 3,463.02 is: 4,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.70 : 8,634.84 = 3,463.02 : x
  2. Step 2: Convert to fraction form
    6,257.70/8,634.84 = 3,463.02/x
  3. Step 3: Cross multiply
    6,257.70x = 8,634.84 × 3,463.02
  4. Step 4: Simplify right side
    6,257.70x = 29,902,623.62
  5. Step 5: Solve for x
    x = 29,902,623.62/6,257.70
  6. Step 6: Final answer
    x = 4,778.53

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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.