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Finding the Fourth Proportional to 5,645.44, 7,790.71 and 3,161.44

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Solution

The fourth proportional to 5,645.44, 7,790.71 and 3,161.44 is: 4,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.44 : 7,790.71 = 3,161.44 : x
  2. Step 2: Convert to fraction form
    5,645.44/7,790.71 = 3,161.44/x
  3. Step 3: Cross multiply
    5,645.44x = 7,790.71 × 3,161.44
  4. Step 4: Simplify right side
    5,645.44x = 24,629,834.84
  5. Step 5: Solve for x
    x = 24,629,834.84/5,645.44
  6. Step 6: Final answer
    x = 4,362.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.