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Finding the Fourth Proportional to 3,367.64, 4,644.96 and 2,738.17

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Solution

The fourth proportional to 3,367.64, 4,644.96 and 2,738.17 is: 3,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.64 : 4,644.96 = 2,738.17 : x
  2. Step 2: Convert to fraction form
    3,367.64/4,644.96 = 2,738.17/x
  3. Step 3: Cross multiply
    3,367.64x = 4,644.96 × 2,738.17
  4. Step 4: Simplify right side
    3,367.64x = 12,718,690.12
  5. Step 5: Solve for x
    x = 12,718,690.12/3,367.64
  6. Step 6: Final answer
    x = 3,776.74

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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.