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Finding the Fourth Proportional to 3,794.86, 5,689.91 and 1,161.49

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Solution

The fourth proportional to 3,794.86, 5,689.91 and 1,161.49 is: 1,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.86 : 5,689.91 = 1,161.49 : x
  2. Step 2: Convert to fraction form
    3,794.86/5,689.91 = 1,161.49/x
  3. Step 3: Cross multiply
    3,794.86x = 5,689.91 × 1,161.49
  4. Step 4: Simplify right side
    3,794.86x = 6,608,773.57
  5. Step 5: Solve for x
    x = 6,608,773.57/3,794.86
  6. Step 6: Final answer
    x = 1,741.51

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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.