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Finding the Fourth Proportional to 3,878.40, 5,352.12 and 2,109.96

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Solution

The fourth proportional to 3,878.40, 5,352.12 and 2,109.96 is: 2,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.40 : 5,352.12 = 2,109.96 : x
  2. Step 2: Convert to fraction form
    3,878.40/5,352.12 = 2,109.96/x
  3. Step 3: Cross multiply
    3,878.40x = 5,352.12 × 2,109.96
  4. Step 4: Simplify right side
    3,878.40x = 11,292,759.12
  5. Step 5: Solve for x
    x = 11,292,759.12/3,878.40
  6. Step 6: Final answer
    x = 2,911.71

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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.