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Finding the Fourth Proportional to 5,517.56, 8,274.18 and 2,054

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Solution

The fourth proportional to 5,517.56, 8,274.18 and 2,054 is: 3,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517.56 : 8,274.18 = 2,054 : x
  2. Step 2: Convert to fraction form
    5,517.56/8,274.18 = 2,054/x
  3. Step 3: Cross multiply
    5,517.56x = 8,274.18 × 2,054
  4. Step 4: Simplify right side
    5,517.56x = 16,995,165.72
  5. Step 5: Solve for x
    x = 16,995,165.72/5,517.56
  6. Step 6: Final answer
    x = 3,080.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.