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Finding the Fourth Proportional to 3,883.16, 5,322.62 and 3,828.48

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Solution

The fourth proportional to 3,883.16, 5,322.62 and 3,828.48 is: 5,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.16 : 5,322.62 = 3,828.48 : x
  2. Step 2: Convert to fraction form
    3,883.16/5,322.62 = 3,828.48/x
  3. Step 3: Cross multiply
    3,883.16x = 5,322.62 × 3,828.48
  4. Step 4: Simplify right side
    3,883.16x = 20,377,544.22
  5. Step 5: Solve for x
    x = 20,377,544.22/3,883.16
  6. Step 6: Final answer
    x = 5,247.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.