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Finding the Fourth Proportional to 4,446.41, 6,131.43 and 3,819.00

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Solution

The fourth proportional to 4,446.41, 6,131.43 and 3,819.00 is: 5,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.41 : 6,131.43 = 3,819.00 : x
  2. Step 2: Convert to fraction form
    4,446.41/6,131.43 = 3,819.00/x
  3. Step 3: Cross multiply
    4,446.41x = 6,131.43 × 3,819.00
  4. Step 4: Simplify right side
    4,446.41x = 23,415,954.16
  5. Step 5: Solve for x
    x = 23,415,954.16/4,446.41
  6. Step 6: Final answer
    x = 5,266.27

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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.