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Finding the Fourth Proportional to 6,194.89, 8,548.38 and 3,676.57

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Solution

The fourth proportional to 6,194.89, 8,548.38 and 3,676.57 is: 5,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.89 : 8,548.38 = 3,676.57 : x
  2. Step 2: Convert to fraction form
    6,194.89/8,548.38 = 3,676.57/x
  3. Step 3: Cross multiply
    6,194.89x = 8,548.38 × 3,676.57
  4. Step 4: Simplify right side
    6,194.89x = 31,428,696.09
  5. Step 5: Solve for x
    x = 31,428,696.09/6,194.89
  6. Step 6: Final answer
    x = 5,073.32

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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.