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Finding the Fourth Proportional to 4,611.90, 6,348.90 and 4,168.44

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Solution

The fourth proportional to 4,611.90, 6,348.90 and 4,168.44 is: 5,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.90 : 6,348.90 = 4,168.44 : x
  2. Step 2: Convert to fraction form
    4,611.90/6,348.90 = 4,168.44/x
  3. Step 3: Cross multiply
    4,611.90x = 6,348.90 × 4,168.44
  4. Step 4: Simplify right side
    4,611.90x = 26,465,008.72
  5. Step 5: Solve for x
    x = 26,465,008.72/4,611.90
  6. Step 6: Final answer
    x = 5,738.42

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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.