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Finding the Fourth Proportional to 6,093.98, 8,409.38 and 3,404.72

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Solution

The fourth proportional to 6,093.98, 8,409.38 and 3,404.72 is: 4,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.98 : 8,409.38 = 3,404.72 : x
  2. Step 2: Convert to fraction form
    6,093.98/8,409.38 = 3,404.72/x
  3. Step 3: Cross multiply
    6,093.98x = 8,409.38 × 3,404.72
  4. Step 4: Simplify right side
    6,093.98x = 28,631,584.27
  5. Step 5: Solve for x
    x = 28,631,584.27/6,093.98
  6. Step 6: Final answer
    x = 4,698.34

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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.