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Finding the Fourth Proportional to 3,878.38, 5,352.18 and 2,109.98

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Solution

The fourth proportional to 3,878.38, 5,352.18 and 2,109.98 is: 2,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.38 : 5,352.18 = 2,109.98 : x
  2. Step 2: Convert to fraction form
    3,878.38/5,352.18 = 2,109.98/x
  3. Step 3: Cross multiply
    3,878.38x = 5,352.18 × 2,109.98
  4. Step 4: Simplify right side
    3,878.38x = 11,292,998.22
  5. Step 5: Solve for x
    x = 11,292,998.22/3,878.38
  6. Step 6: Final answer
    x = 2,911.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.