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Finding the Fourth Proportional to 6,446.50, 8,895.69 and 3,651.94

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Solution

The fourth proportional to 6,446.50, 8,895.69 and 3,651.94 is: 5,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.50 : 8,895.69 = 3,651.94 : x
  2. Step 2: Convert to fraction form
    6,446.50/8,895.69 = 3,651.94/x
  3. Step 3: Cross multiply
    6,446.50x = 8,895.69 × 3,651.94
  4. Step 4: Simplify right side
    6,446.50x = 32,486,526.14
  5. Step 5: Solve for x
    x = 32,486,526.14/6,446.50
  6. Step 6: Final answer
    x = 5,039.41

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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.