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Finding the Fourth Proportional to 3,697, 5,101.86 and 2,041

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Solution

The fourth proportional to 3,697, 5,101.86 and 2,041 is: 2,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 5,101.86 = 2,041 : x
  2. Step 2: Convert to fraction form
    3,697/5,101.86 = 2,041/x
  3. Step 3: Cross multiply
    3,697x = 5,101.86 × 2,041
  4. Step 4: Simplify right side
    3,697x = 10,412,896.26
  5. Step 5: Solve for x
    x = 10,412,896.26/3,697
  6. Step 6: Final answer
    x = 2,816.58

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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.