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Finding the Fourth Proportional to 5,831.87, 8,047.95 and 3,179.27

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Solution

The fourth proportional to 5,831.87, 8,047.95 and 3,179.27 is: 4,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.87 : 8,047.95 = 3,179.27 : x
  2. Step 2: Convert to fraction form
    5,831.87/8,047.95 = 3,179.27/x
  3. Step 3: Cross multiply
    5,831.87x = 8,047.95 × 3,179.27
  4. Step 4: Simplify right side
    5,831.87x = 25,586,565.76
  5. Step 5: Solve for x
    x = 25,586,565.76/5,831.87
  6. Step 6: Final answer
    x = 4,387.37

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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.