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Finding the Fourth Proportional to 3,201.94, 4,795.17 and 2,650.06

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Solution

The fourth proportional to 3,201.94, 4,795.17 and 2,650.06 is: 3,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.94 : 4,795.17 = 2,650.06 : x
  2. Step 2: Convert to fraction form
    3,201.94/4,795.17 = 2,650.06/x
  3. Step 3: Cross multiply
    3,201.94x = 4,795.17 × 2,650.06
  4. Step 4: Simplify right side
    3,201.94x = 12,707,488.21
  5. Step 5: Solve for x
    x = 12,707,488.21/3,201.94
  6. Step 6: Final answer
    x = 3,968.68

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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.