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Finding the Fourth Proportional to 6,157.06, 8,499.54 and 3,922

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Solution

The fourth proportional to 6,157.06, 8,499.54 and 3,922 is: 5,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.06 : 8,499.54 = 3,922 : x
  2. Step 2: Convert to fraction form
    6,157.06/8,499.54 = 3,922/x
  3. Step 3: Cross multiply
    6,157.06x = 8,499.54 × 3,922
  4. Step 4: Simplify right side
    6,157.06x = 33,335,195.88
  5. Step 5: Solve for x
    x = 33,335,195.88/6,157.06
  6. Step 6: Final answer
    x = 5,414.14

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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.