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Finding the Fourth Proportional to 3,878.49, 5,352.44 and 2,109.99

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Solution

The fourth proportional to 3,878.49, 5,352.44 and 2,109.99 is: 2,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.49 : 5,352.44 = 2,109.99 : x
  2. Step 2: Convert to fraction form
    3,878.49/5,352.44 = 2,109.99/x
  3. Step 3: Cross multiply
    3,878.49x = 5,352.44 × 2,109.99
  4. Step 4: Simplify right side
    3,878.49x = 11,293,584.33
  5. Step 5: Solve for x
    x = 11,293,584.33/3,878.49
  6. Step 6: Final answer
    x = 2,911.85

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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.