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Finding the Fourth Proportional to 5,669.22, 8,494.38 and 1,969.41

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Solution

The fourth proportional to 5,669.22, 8,494.38 and 1,969.41 is: 2,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.22 : 8,494.38 = 1,969.41 : x
  2. Step 2: Convert to fraction form
    5,669.22/8,494.38 = 1,969.41/x
  3. Step 3: Cross multiply
    5,669.22x = 8,494.38 × 1,969.41
  4. Step 4: Simplify right side
    5,669.22x = 16,728,916.92
  5. Step 5: Solve for x
    x = 16,728,916.92/5,669.22
  6. Step 6: Final answer
    x = 2,950.83

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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.