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Finding the Fourth Proportional to 4,906.36, 7,359.27 and 1,983.88

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Solution

The fourth proportional to 4,906.36, 7,359.27 and 1,983.88 is: 2,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.36 : 7,359.27 = 1,983.88 : x
  2. Step 2: Convert to fraction form
    4,906.36/7,359.27 = 1,983.88/x
  3. Step 3: Cross multiply
    4,906.36x = 7,359.27 × 1,983.88
  4. Step 4: Simplify right side
    4,906.36x = 14,599,908.57
  5. Step 5: Solve for x
    x = 14,599,908.57/4,906.36
  6. Step 6: Final answer
    x = 2,975.71

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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.