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Finding the Fourth Proportional to 6,446.44, 8,895.94 and 3,758.23

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Solution

The fourth proportional to 6,446.44, 8,895.94 and 3,758.23 is: 5,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.44 : 8,895.94 = 3,758.23 : x
  2. Step 2: Convert to fraction form
    6,446.44/8,895.94 = 3,758.23/x
  3. Step 3: Cross multiply
    6,446.44x = 8,895.94 × 3,758.23
  4. Step 4: Simplify right side
    6,446.44x = 33,432,988.59
  5. Step 5: Solve for x
    x = 33,432,988.59/6,446.44
  6. Step 6: Final answer
    x = 5,186.27

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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.