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Finding the Fourth Proportional to 5,711.90, 7,881.27 and 3,940.70

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Solution

The fourth proportional to 5,711.90, 7,881.27 and 3,940.70 is: 5,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.90 : 7,881.27 = 3,940.70 : x
  2. Step 2: Convert to fraction form
    5,711.90/7,881.27 = 3,940.70/x
  3. Step 3: Cross multiply
    5,711.90x = 7,881.27 × 3,940.70
  4. Step 4: Simplify right side
    5,711.90x = 31,057,720.69
  5. Step 5: Solve for x
    x = 31,057,720.69/5,711.90
  6. Step 6: Final answer
    x = 5,437.37

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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.