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Finding the Fourth Proportional to 6,446.94, 8,898.39 and 3,961.50

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Solution

The fourth proportional to 6,446.94, 8,898.39 and 3,961.50 is: 5,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.94 : 8,898.39 = 3,961.50 : x
  2. Step 2: Convert to fraction form
    6,446.94/8,898.39 = 3,961.50/x
  3. Step 3: Cross multiply
    6,446.94x = 8,898.39 × 3,961.50
  4. Step 4: Simplify right side
    6,446.94x = 35,250,971.99
  5. Step 5: Solve for x
    x = 35,250,971.99/6,446.94
  6. Step 6: Final answer
    x = 5,467.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.