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Finding the Fourth Proportional to 6,093.38, 8,406.35 and 4,104.58

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Solution

The fourth proportional to 6,093.38, 8,406.35 and 4,104.58 is: 5,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.38 : 8,406.35 = 4,104.58 : x
  2. Step 2: Convert to fraction form
    6,093.38/8,406.35 = 4,104.58/x
  3. Step 3: Cross multiply
    6,093.38x = 8,406.35 × 4,104.58
  4. Step 4: Simplify right side
    6,093.38x = 34,504,494.05
  5. Step 5: Solve for x
    x = 34,504,494.05/6,093.38
  6. Step 6: Final answer
    x = 5,662.62

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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.