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Finding the Fourth Proportional to 5,516.57, 8,274.74 and 1,819.02

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Solution

The fourth proportional to 5,516.57, 8,274.74 and 1,819.02 is: 2,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516.57 : 8,274.74 = 1,819.02 : x
  2. Step 2: Convert to fraction form
    5,516.57/8,274.74 = 1,819.02/x
  3. Step 3: Cross multiply
    5,516.57x = 8,274.74 × 1,819.02
  4. Step 4: Simplify right side
    5,516.57x = 15,051,917.55
  5. Step 5: Solve for x
    x = 15,051,917.55/5,516.57
  6. Step 6: Final answer
    x = 2,728.49

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Why These Related Problems?

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