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Finding the Fourth Proportional to 4,612.07, 6,922.82 and 3,375.81

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Solution

The fourth proportional to 4,612.07, 6,922.82 and 3,375.81 is: 5,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.07 : 6,922.82 = 3,375.81 : x
  2. Step 2: Convert to fraction form
    4,612.07/6,922.82 = 3,375.81/x
  3. Step 3: Cross multiply
    4,612.07x = 6,922.82 × 3,375.81
  4. Step 4: Simplify right side
    4,612.07x = 23,370,114.43
  5. Step 5: Solve for x
    x = 23,370,114.43/4,612.07
  6. Step 6: Final answer
    x = 5,067.16

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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.