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Finding the Fourth Proportional to 3,831.57, 5,752.22 and 3,258.09

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Solution

The fourth proportional to 3,831.57, 5,752.22 and 3,258.09 is: 4,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.57 : 5,752.22 = 3,258.09 : x
  2. Step 2: Convert to fraction form
    3,831.57/5,752.22 = 3,258.09/x
  3. Step 3: Cross multiply
    3,831.57x = 5,752.22 × 3,258.09
  4. Step 4: Simplify right side
    3,831.57x = 18,741,234.17
  5. Step 5: Solve for x
    x = 18,741,234.17/3,831.57
  6. Step 6: Final answer
    x = 4,891.27

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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.