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Finding the Fourth Proportional to 3,811.82, 5,707.68 and 2,638.26

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Solution

The fourth proportional to 3,811.82, 5,707.68 and 2,638.26 is: 3,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.82 : 5,707.68 = 2,638.26 : x
  2. Step 2: Convert to fraction form
    3,811.82/5,707.68 = 2,638.26/x
  3. Step 3: Cross multiply
    3,811.82x = 5,707.68 × 2,638.26
  4. Step 4: Simplify right side
    3,811.82x = 15,058,343.84
  5. Step 5: Solve for x
    x = 15,058,343.84/3,811.82
  6. Step 6: Final answer
    x = 3,950.44

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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.