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Finding the Fourth Proportional to 4,831.88, 7,247.81 and 1,183.88

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Solution

The fourth proportional to 4,831.88, 7,247.81 and 1,183.88 is: 1,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.88 : 7,247.81 = 1,183.88 : x
  2. Step 2: Convert to fraction form
    4,831.88/7,247.81 = 1,183.88/x
  3. Step 3: Cross multiply
    4,831.88x = 7,247.81 × 1,183.88
  4. Step 4: Simplify right side
    4,831.88x = 8,580,504.02
  5. Step 5: Solve for x
    x = 8,580,504.02/4,831.88
  6. Step 6: Final answer
    x = 1,775.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.