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Finding the Fourth Proportional to 4,248, 6,361.12 and 3,853.44

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Solution

The fourth proportional to 4,248, 6,361.12 and 3,853.44 is: 5,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248 : 6,361.12 = 3,853.44 : x
  2. Step 2: Convert to fraction form
    4,248/6,361.12 = 3,853.44/x
  3. Step 3: Cross multiply
    4,248x = 6,361.12 × 3,853.44
  4. Step 4: Simplify right side
    4,248x = 24,512,194.25
  5. Step 5: Solve for x
    x = 24,512,194.25/4,248
  6. Step 6: Final answer
    x = 5,770.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.