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Finding the Fourth Proportional to 4,087.56, 5,642.94 and 2,768.22

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Solution

The fourth proportional to 4,087.56, 5,642.94 and 2,768.22 is: 3,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.56 : 5,642.94 = 2,768.22 : x
  2. Step 2: Convert to fraction form
    4,087.56/5,642.94 = 2,768.22/x
  3. Step 3: Cross multiply
    4,087.56x = 5,642.94 × 2,768.22
  4. Step 4: Simplify right side
    4,087.56x = 15,620,899.37
  5. Step 5: Solve for x
    x = 15,620,899.37/4,087.56
  6. Step 6: Final answer
    x = 3,821.57

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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.