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Finding the Fourth Proportional to 5,812.86, 8,022.49 and 3,295.99

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Solution

The fourth proportional to 5,812.86, 8,022.49 and 3,295.99 is: 4,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.86 : 8,022.49 = 3,295.99 : x
  2. Step 2: Convert to fraction form
    5,812.86/8,022.49 = 3,295.99/x
  3. Step 3: Cross multiply
    5,812.86x = 8,022.49 × 3,295.99
  4. Step 4: Simplify right side
    5,812.86x = 26,442,067.14
  5. Step 5: Solve for x
    x = 26,442,067.14/5,812.86
  6. Step 6: Final answer
    x = 4,548.89

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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.