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Finding the Fourth Proportional to 3,753, 5,629.40 and 979.58

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Solution

The fourth proportional to 3,753, 5,629.40 and 979.58 is: 1,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753 : 5,629.40 = 979.58 : x
  2. Step 2: Convert to fraction form
    3,753/5,629.40 = 979.58/x
  3. Step 3: Cross multiply
    3,753x = 5,629.40 × 979.58
  4. Step 4: Simplify right side
    3,753x = 5,514,447.65
  5. Step 5: Solve for x
    x = 5,514,447.65/3,753
  6. Step 6: Final answer
    x = 1,469.34

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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.