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Finding the Fourth Proportional to 3,540.36, 5,300.44 and 2,811

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Solution

The fourth proportional to 3,540.36, 5,300.44 and 2,811 is: 4,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.36 : 5,300.44 = 2,811 : x
  2. Step 2: Convert to fraction form
    3,540.36/5,300.44 = 2,811/x
  3. Step 3: Cross multiply
    3,540.36x = 5,300.44 × 2,811
  4. Step 4: Simplify right side
    3,540.36x = 14,899,536.84
  5. Step 5: Solve for x
    x = 14,899,536.84/3,540.36
  6. Step 6: Final answer
    x = 4,208.48

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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.