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Finding the Fourth Proportional to 3,469.44, 5,201.72 and 1,277.89

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Solution

The fourth proportional to 3,469.44, 5,201.72 and 1,277.89 is: 1,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.44 : 5,201.72 = 1,277.89 : x
  2. Step 2: Convert to fraction form
    3,469.44/5,201.72 = 1,277.89/x
  3. Step 3: Cross multiply
    3,469.44x = 5,201.72 × 1,277.89
  4. Step 4: Simplify right side
    3,469.44x = 6,647,203.16
  5. Step 5: Solve for x
    x = 6,647,203.16/3,469.44
  6. Step 6: Final answer
    x = 1,915.93

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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.