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Finding the Fourth Proportional to 5,711.10, 7,881.48 and 3,193.31

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Solution

The fourth proportional to 5,711.10, 7,881.48 and 3,193.31 is: 4,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.10 : 7,881.48 = 3,193.31 : x
  2. Step 2: Convert to fraction form
    5,711.10/7,881.48 = 3,193.31/x
  3. Step 3: Cross multiply
    5,711.10x = 7,881.48 × 3,193.31
  4. Step 4: Simplify right side
    5,711.10x = 25,167,969.49
  5. Step 5: Solve for x
    x = 25,167,969.49/5,711.10
  6. Step 6: Final answer
    x = 4,406.85

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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.