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Finding the Fourth Proportional to 5,683.71, 7,843.73 and 3,131.57

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Solution

The fourth proportional to 5,683.71, 7,843.73 and 3,131.57 is: 4,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.71 : 7,843.73 = 3,131.57 : x
  2. Step 2: Convert to fraction form
    5,683.71/7,843.73 = 3,131.57/x
  3. Step 3: Cross multiply
    5,683.71x = 7,843.73 × 3,131.57
  4. Step 4: Simplify right side
    5,683.71x = 24,563,189.56
  5. Step 5: Solve for x
    x = 24,563,189.56/5,683.71
  6. Step 6: Final answer
    x = 4,321.68

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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.