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Finding the Fourth Proportional to 3,851.05, 5,772.62 and 2,924.64

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Solution

The fourth proportional to 3,851.05, 5,772.62 and 2,924.64 is: 4,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.05 : 5,772.62 = 2,924.64 : x
  2. Step 2: Convert to fraction form
    3,851.05/5,772.62 = 2,924.64/x
  3. Step 3: Cross multiply
    3,851.05x = 5,772.62 × 2,924.64
  4. Step 4: Simplify right side
    3,851.05x = 16,882,806.49
  5. Step 5: Solve for x
    x = 16,882,806.49/3,851.05
  6. Step 6: Final answer
    x = 4,383.95

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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.