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Finding the Fourth Proportional to 5,645.22, 7,790.36 and 3,161.22

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Solution

The fourth proportional to 5,645.22, 7,790.36 and 3,161.22 is: 4,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.22 : 7,790.36 = 3,161.22 : x
  2. Step 2: Convert to fraction form
    5,645.22/7,790.36 = 3,161.22/x
  3. Step 3: Cross multiply
    5,645.22x = 7,790.36 × 3,161.22
  4. Step 4: Simplify right side
    5,645.22x = 24,627,041.84
  5. Step 5: Solve for x
    x = 24,627,041.84/5,645.22
  6. Step 6: Final answer
    x = 4,362.46

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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.