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Finding the Fourth Proportional to 4,831.38, 7,238.97 and 2,884.14

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Solution

The fourth proportional to 4,831.38, 7,238.97 and 2,884.14 is: 4,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.38 : 7,238.97 = 2,884.14 : x
  2. Step 2: Convert to fraction form
    4,831.38/7,238.97 = 2,884.14/x
  3. Step 3: Cross multiply
    4,831.38x = 7,238.97 × 2,884.14
  4. Step 4: Simplify right side
    4,831.38x = 20,878,202.94
  5. Step 5: Solve for x
    x = 20,878,202.94/4,831.38
  6. Step 6: Final answer
    x = 4,321.37

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1.5x scale

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.