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Finding the Fourth Proportional to 5,812.26, 8,023.77 and 3,958.98

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Solution

The fourth proportional to 5,812.26, 8,023.77 and 3,958.98 is: 5,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.26 : 8,023.77 = 3,958.98 : x
  2. Step 2: Convert to fraction form
    5,812.26/8,023.77 = 3,958.98/x
  3. Step 3: Cross multiply
    5,812.26x = 8,023.77 × 3,958.98
  4. Step 4: Simplify right side
    5,812.26x = 31,765,944.95
  5. Step 5: Solve for x
    x = 31,765,944.95/5,812.26
  6. Step 6: Final answer
    x = 5,465.33

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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.