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Finding the Fourth Proportional to 6,858.28, 10,289.22 and 2,961.76

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Solution

The fourth proportional to 6,858.28, 10,289.22 and 2,961.76 is: 4,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.28 : 10,289.22 = 2,961.76 : x
  2. Step 2: Convert to fraction form
    6,858.28/10,289.22 = 2,961.76/x
  3. Step 3: Cross multiply
    6,858.28x = 10,289.22 × 2,961.76
  4. Step 4: Simplify right side
    6,858.28x = 30,474,200.23
  5. Step 5: Solve for x
    x = 30,474,200.23/6,858.28
  6. Step 6: Final answer
    x = 4,443.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.