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Finding the Fourth Proportional to 5,771.23, 7,963.81 and 3,412.96

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Solution

The fourth proportional to 5,771.23, 7,963.81 and 3,412.96 is: 4,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.23 : 7,963.81 = 3,412.96 : x
  2. Step 2: Convert to fraction form
    5,771.23/7,963.81 = 3,412.96/x
  3. Step 3: Cross multiply
    5,771.23x = 7,963.81 × 3,412.96
  4. Step 4: Simplify right side
    5,771.23x = 27,180,164.98
  5. Step 5: Solve for x
    x = 27,180,164.98/5,771.23
  6. Step 6: Final answer
    x = 4,709.60

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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.