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Finding the Fourth Proportional to 3,218.75, 4,440.48 and 2,274.39

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Solution

The fourth proportional to 3,218.75, 4,440.48 and 2,274.39 is: 3,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.75 : 4,440.48 = 2,274.39 : x
  2. Step 2: Convert to fraction form
    3,218.75/4,440.48 = 2,274.39/x
  3. Step 3: Cross multiply
    3,218.75x = 4,440.48 × 2,274.39
  4. Step 4: Simplify right side
    3,218.75x = 10,099,383.31
  5. Step 5: Solve for x
    x = 10,099,383.31/3,218.75
  6. Step 6: Final answer
    x = 3,137.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.