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Finding the Fourth Proportional to 5,953.50, 8,930.83 and 2,206.27

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Solution

The fourth proportional to 5,953.50, 8,930.83 and 2,206.27 is: 3,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.50 : 8,930.83 = 2,206.27 : x
  2. Step 2: Convert to fraction form
    5,953.50/8,930.83 = 2,206.27/x
  3. Step 3: Cross multiply
    5,953.50x = 8,930.83 × 2,206.27
  4. Step 4: Simplify right side
    5,953.50x = 19,703,822.30
  5. Step 5: Solve for x
    x = 19,703,822.30/5,953.50
  6. Step 6: Final answer
    x = 3,309.62

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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.