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Finding the Fourth Proportional to 5,812.72, 8,022.24 and 3,454.87

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Solution

The fourth proportional to 5,812.72, 8,022.24 and 3,454.87 is: 4,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.72 : 8,022.24 = 3,454.87 : x
  2. Step 2: Convert to fraction form
    5,812.72/8,022.24 = 3,454.87/x
  3. Step 3: Cross multiply
    5,812.72x = 8,022.24 × 3,454.87
  4. Step 4: Simplify right side
    5,812.72x = 27,715,796.31
  5. Step 5: Solve for x
    x = 27,715,796.31/5,812.72
  6. Step 6: Final answer
    x = 4,768.13

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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.