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Finding the Fourth Proportional to 3,523.71, 5,284.72 and 1,183.80

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Solution

The fourth proportional to 3,523.71, 5,284.72 and 1,183.80 is: 1,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.71 : 5,284.72 = 1,183.80 : x
  2. Step 2: Convert to fraction form
    3,523.71/5,284.72 = 1,183.80/x
  3. Step 3: Cross multiply
    3,523.71x = 5,284.72 × 1,183.80
  4. Step 4: Simplify right side
    3,523.71x = 6,256,051.54
  5. Step 5: Solve for x
    x = 6,256,051.54/3,523.71
  6. Step 6: Final answer
    x = 1,775.42

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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.