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Finding the Fourth Proportional to 6,858.27, 10,284.50 and 2,959.88

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Solution

The fourth proportional to 6,858.27, 10,284.50 and 2,959.88 is: 4,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.27 : 10,284.50 = 2,959.88 : x
  2. Step 2: Convert to fraction form
    6,858.27/10,284.50 = 2,959.88/x
  3. Step 3: Cross multiply
    6,858.27x = 10,284.50 × 2,959.88
  4. Step 4: Simplify right side
    6,858.27x = 30,440,841.84
  5. Step 5: Solve for x
    x = 30,440,841.84/6,858.27
  6. Step 6: Final answer
    x = 4,438.56

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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.