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Finding the Fourth Proportional to 5,645.16, 7,790.22 and 3,161.16

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Solution

The fourth proportional to 5,645.16, 7,790.22 and 3,161.16 is: 4,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.16 : 7,790.22 = 3,161.16 : x
  2. Step 2: Convert to fraction form
    5,645.16/7,790.22 = 3,161.16/x
  3. Step 3: Cross multiply
    5,645.16x = 7,790.22 × 3,161.16
  4. Step 4: Simplify right side
    5,645.16x = 24,626,131.86
  5. Step 5: Solve for x
    x = 24,626,131.86/5,645.16
  6. Step 6: Final answer
    x = 4,362.34

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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.