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Finding the Fourth Proportional to 3,591, 5,388.12 and 1,741.77

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Solution

The fourth proportional to 3,591, 5,388.12 and 1,741.77 is: 2,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591 : 5,388.12 = 1,741.77 : x
  2. Step 2: Convert to fraction form
    3,591/5,388.12 = 1,741.77/x
  3. Step 3: Cross multiply
    3,591x = 5,388.12 × 1,741.77
  4. Step 4: Simplify right side
    3,591x = 9,384,865.77
  5. Step 5: Solve for x
    x = 9,384,865.77/3,591
  6. Step 6: Final answer
    x = 2,613.44

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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.