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Finding the Fourth Proportional to 5,069.86, 6,996.44 and 2,831.94

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Solution

The fourth proportional to 5,069.86, 6,996.44 and 2,831.94 is: 3,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.86 : 6,996.44 = 2,831.94 : x
  2. Step 2: Convert to fraction form
    5,069.86/6,996.44 = 2,831.94/x
  3. Step 3: Cross multiply
    5,069.86x = 6,996.44 × 2,831.94
  4. Step 4: Simplify right side
    5,069.86x = 19,813,463.31
  5. Step 5: Solve for x
    x = 19,813,463.31/5,069.86
  6. Step 6: Final answer
    x = 3,908.09

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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.