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Finding the Fourth Proportional to 5,831.94, 8,047.86 and 3,179.29

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Solution

The fourth proportional to 5,831.94, 8,047.86 and 3,179.29 is: 4,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.94 : 8,047.86 = 3,179.29 : x
  2. Step 2: Convert to fraction form
    5,831.94/8,047.86 = 3,179.29/x
  3. Step 3: Cross multiply
    5,831.94x = 8,047.86 × 3,179.29
  4. Step 4: Simplify right side
    5,831.94x = 25,586,480.82
  5. Step 5: Solve for x
    x = 25,586,480.82/5,831.94
  6. Step 6: Final answer
    x = 4,387.30

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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.