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Finding the Fourth Proportional to 3,752.75, 5,629.34 and 979.52

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Solution

The fourth proportional to 3,752.75, 5,629.34 and 979.52 is: 1,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.75 : 5,629.34 = 979.52 : x
  2. Step 2: Convert to fraction form
    3,752.75/5,629.34 = 979.52/x
  3. Step 3: Cross multiply
    3,752.75x = 5,629.34 × 979.52
  4. Step 4: Simplify right side
    3,752.75x = 5,514,025.42
  5. Step 5: Solve for x
    x = 5,514,025.42/3,752.75
  6. Step 6: Final answer
    x = 1,469.33

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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.