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Finding the Fourth Proportional to 6,193.24, 8,546.94 and 3,398.80

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Solution

The fourth proportional to 6,193.24, 8,546.94 and 3,398.80 is: 4,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.24 : 8,546.94 = 3,398.80 : x
  2. Step 2: Convert to fraction form
    6,193.24/8,546.94 = 3,398.80/x
  3. Step 3: Cross multiply
    6,193.24x = 8,546.94 × 3,398.80
  4. Step 4: Simplify right side
    6,193.24x = 29,049,339.67
  5. Step 5: Solve for x
    x = 29,049,339.67/6,193.24
  6. Step 6: Final answer
    x = 4,690.49

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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.