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Finding the Fourth Proportional to 5,515.70, 8,274.09 and 2,006

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Solution

The fourth proportional to 5,515.70, 8,274.09 and 2,006 is: 3,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,515.70 : 8,274.09 = 2,006 : x
  2. Step 2: Convert to fraction form
    5,515.70/8,274.09 = 2,006/x
  3. Step 3: Cross multiply
    5,515.70x = 8,274.09 × 2,006
  4. Step 4: Simplify right side
    5,515.70x = 16,597,824.54
  5. Step 5: Solve for x
    x = 16,597,824.54/5,515.70
  6. Step 6: Final answer
    x = 3,009.20

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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.