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Finding the Fourth Proportional to 5,812.14, 8,022.51 and 3,950.22

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Solution

The fourth proportional to 5,812.14, 8,022.51 and 3,950.22 is: 5,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.14 : 8,022.51 = 3,950.22 : x
  2. Step 2: Convert to fraction form
    5,812.14/8,022.51 = 3,950.22/x
  3. Step 3: Cross multiply
    5,812.14x = 8,022.51 × 3,950.22
  4. Step 4: Simplify right side
    5,812.14x = 31,690,679.45
  5. Step 5: Solve for x
    x = 31,690,679.45/5,812.14
  6. Step 6: Final answer
    x = 5,452.50

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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.