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Finding the Fourth Proportional to 6,257.29, 8,633.40 and 3,738.31

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Solution

The fourth proportional to 6,257.29, 8,633.40 and 3,738.31 is: 5,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.29 : 8,633.40 = 3,738.31 : x
  2. Step 2: Convert to fraction form
    6,257.29/8,633.40 = 3,738.31/x
  3. Step 3: Cross multiply
    6,257.29x = 8,633.40 × 3,738.31
  4. Step 4: Simplify right side
    6,257.29x = 32,274,325.55
  5. Step 5: Solve for x
    x = 32,274,325.55/6,257.29
  6. Step 6: Final answer
    x = 5,157.88

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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.