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Finding the Fourth Proportional to 4,251.26, 5,855 and 3,661.58

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Solution

The fourth proportional to 4,251.26, 5,855 and 3,661.58 is: 5,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.26 : 5,855 = 3,661.58 : x
  2. Step 2: Convert to fraction form
    4,251.26/5,855 = 3,661.58/x
  3. Step 3: Cross multiply
    4,251.26x = 5,855 × 3,661.58
  4. Step 4: Simplify right side
    4,251.26x = 21,438,550.90
  5. Step 5: Solve for x
    x = 21,438,550.90/4,251.26
  6. Step 6: Final answer
    x = 5,042.87

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1.5x scale

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.