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Finding the Fourth Proportional to 6,101.99, 8,419.38 and 3,977.33

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Solution

The fourth proportional to 6,101.99, 8,419.38 and 3,977.33 is: 5,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.99 : 8,419.38 = 3,977.33 : x
  2. Step 2: Convert to fraction form
    6,101.99/8,419.38 = 3,977.33/x
  3. Step 3: Cross multiply
    6,101.99x = 8,419.38 × 3,977.33
  4. Step 4: Simplify right side
    6,101.99x = 33,486,610.56
  5. Step 5: Solve for x
    x = 33,486,610.56/6,101.99
  6. Step 6: Final answer
    x = 5,487.82

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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.