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Finding the Fourth Proportional to 3,878, 5,352.42 and 2,222

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Solution

The fourth proportional to 3,878, 5,352.42 and 2,222 is: 3,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878 : 5,352.42 = 2,222 : x
  2. Step 2: Convert to fraction form
    3,878/5,352.42 = 2,222/x
  3. Step 3: Cross multiply
    3,878x = 5,352.42 × 2,222
  4. Step 4: Simplify right side
    3,878x = 11,893,077.24
  5. Step 5: Solve for x
    x = 11,893,077.24/3,878
  6. Step 6: Final answer
    x = 3,066.81

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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.