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Finding the Fourth Proportional to 6,267.76, 8,651.22 and 3,908.50

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Solution

The fourth proportional to 6,267.76, 8,651.22 and 3,908.50 is: 5,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.76 : 8,651.22 = 3,908.50 : x
  2. Step 2: Convert to fraction form
    6,267.76/8,651.22 = 3,908.50/x
  3. Step 3: Cross multiply
    6,267.76x = 8,651.22 × 3,908.50
  4. Step 4: Simplify right side
    6,267.76x = 33,813,293.37
  5. Step 5: Solve for x
    x = 33,813,293.37/6,267.76
  6. Step 6: Final answer
    x = 5,394.80

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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.