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Finding the Fourth Proportional to 5,069.43, 6,996.09 and 2,831.31

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Solution

The fourth proportional to 5,069.43, 6,996.09 and 2,831.31 is: 3,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.43 : 6,996.09 = 2,831.31 : x
  2. Step 2: Convert to fraction form
    5,069.43/6,996.09 = 2,831.31/x
  3. Step 3: Cross multiply
    5,069.43x = 6,996.09 × 2,831.31
  4. Step 4: Simplify right side
    5,069.43x = 19,808,099.58
  5. Step 5: Solve for x
    x = 19,808,099.58/5,069.43
  6. Step 6: Final answer
    x = 3,907.36

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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.