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Finding the Fourth Proportional to 4,616, 6,370.72 and 3,375.68

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Solution

The fourth proportional to 4,616, 6,370.72 and 3,375.68 is: 4,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616 : 6,370.72 = 3,375.68 : x
  2. Step 2: Convert to fraction form
    4,616/6,370.72 = 3,375.68/x
  3. Step 3: Cross multiply
    4,616x = 6,370.72 × 3,375.68
  4. Step 4: Simplify right side
    4,616x = 21,505,512.09
  5. Step 5: Solve for x
    x = 21,505,512.09/4,616
  6. Step 6: Final answer
    x = 4,658.91

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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.