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Finding the Fourth Proportional to 3,662.07, 5,488.48 and 1,469.58

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Solution

The fourth proportional to 3,662.07, 5,488.48 and 1,469.58 is: 2,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.07 : 5,488.48 = 1,469.58 : x
  2. Step 2: Convert to fraction form
    3,662.07/5,488.48 = 1,469.58/x
  3. Step 3: Cross multiply
    3,662.07x = 5,488.48 × 1,469.58
  4. Step 4: Simplify right side
    3,662.07x = 8,065,760.44
  5. Step 5: Solve for x
    x = 8,065,760.44/3,662.07
  6. Step 6: Final answer
    x = 2,202.51

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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.