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Finding the Fourth Proportional to 3,878.36, 5,351.97 and 2,109.97

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Solution

The fourth proportional to 3,878.36, 5,351.97 and 2,109.97 is: 2,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.36 : 5,351.97 = 2,109.97 : x
  2. Step 2: Convert to fraction form
    3,878.36/5,351.97 = 2,109.97/x
  3. Step 3: Cross multiply
    3,878.36x = 5,351.97 × 2,109.97
  4. Step 4: Simplify right side
    3,878.36x = 11,292,490.67
  5. Step 5: Solve for x
    x = 11,292,490.67/3,878.36
  6. Step 6: Final answer
    x = 2,911.67

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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.