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Finding the Fourth Proportional to 5,170.94, 7,751.77 and 2,048.84

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Solution

The fourth proportional to 5,170.94, 7,751.77 and 2,048.84 is: 3,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.94 : 7,751.77 = 2,048.84 : x
  2. Step 2: Convert to fraction form
    5,170.94/7,751.77 = 2,048.84/x
  3. Step 3: Cross multiply
    5,170.94x = 7,751.77 × 2,048.84
  4. Step 4: Simplify right side
    5,170.94x = 15,882,087.44
  5. Step 5: Solve for x
    x = 15,882,087.44/5,170.94
  6. Step 6: Final answer
    x = 3,071.42

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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.