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Finding the Fourth Proportional to 5,645.38, 7,790.63 and 3,161.38

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Solution

The fourth proportional to 5,645.38, 7,790.63 and 3,161.38 is: 4,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.38 : 7,790.63 = 3,161.38 : x
  2. Step 2: Convert to fraction form
    5,645.38/7,790.63 = 3,161.38/x
  3. Step 3: Cross multiply
    5,645.38x = 7,790.63 × 3,161.38
  4. Step 4: Simplify right side
    5,645.38x = 24,629,087.11
  5. Step 5: Solve for x
    x = 24,629,087.11/5,645.38
  6. Step 6: Final answer
    x = 4,362.70

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Why These Related Problems?

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