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Finding the Fourth Proportional to 4,811, 7,195.65 and 2,831.91

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Solution

The fourth proportional to 4,811, 7,195.65 and 2,831.91 is: 4,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811 : 7,195.65 = 2,831.91 : x
  2. Step 2: Convert to fraction form
    4,811/7,195.65 = 2,831.91/x
  3. Step 3: Cross multiply
    4,811x = 7,195.65 × 2,831.91
  4. Step 4: Simplify right side
    4,811x = 20,377,433.19
  5. Step 5: Solve for x
    x = 20,377,433.19/4,811
  6. Step 6: Final answer
    x = 4,235.59

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