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Finding the Fourth Proportional to 3,906.36, 5,390.76 and 2,138

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Solution

The fourth proportional to 3,906.36, 5,390.76 and 2,138 is: 2,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.36 : 5,390.76 = 2,138 : x
  2. Step 2: Convert to fraction form
    3,906.36/5,390.76 = 2,138/x
  3. Step 3: Cross multiply
    3,906.36x = 5,390.76 × 2,138
  4. Step 4: Simplify right side
    3,906.36x = 11,525,444.88
  5. Step 5: Solve for x
    x = 11,525,444.88/3,906.36
  6. Step 6: Final answer
    x = 2,950.43

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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.