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Finding the Fourth Proportional to 3,824.22, 5,736.49 and 1,051.16

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Solution

The fourth proportional to 3,824.22, 5,736.49 and 1,051.16 is: 1,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.22 : 5,736.49 = 1,051.16 : x
  2. Step 2: Convert to fraction form
    3,824.22/5,736.49 = 1,051.16/x
  3. Step 3: Cross multiply
    3,824.22x = 5,736.49 × 1,051.16
  4. Step 4: Simplify right side
    3,824.22x = 6,029,968.83
  5. Step 5: Solve for x
    x = 6,029,968.83/3,824.22
  6. Step 6: Final answer
    x = 1,576.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.