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Finding the Fourth Proportional to 5,069.38, 6,995.54 and 2,831.21

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Solution

The fourth proportional to 5,069.38, 6,995.54 and 2,831.21 is: 3,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.38 : 6,995.54 = 2,831.21 : x
  2. Step 2: Convert to fraction form
    5,069.38/6,995.54 = 2,831.21/x
  3. Step 3: Cross multiply
    5,069.38x = 6,995.54 × 2,831.21
  4. Step 4: Simplify right side
    5,069.38x = 19,805,867.37
  5. Step 5: Solve for x
    x = 19,805,867.37/5,069.38
  6. Step 6: Final answer
    x = 3,906.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.