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Finding the Fourth Proportional to 6,033.48, 8,325.78 and 3,676.38

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Solution

The fourth proportional to 6,033.48, 8,325.78 and 3,676.38 is: 5,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.48 : 8,325.78 = 3,676.38 : x
  2. Step 2: Convert to fraction form
    6,033.48/8,325.78 = 3,676.38/x
  3. Step 3: Cross multiply
    6,033.48x = 8,325.78 × 3,676.38
  4. Step 4: Simplify right side
    6,033.48x = 30,608,731.08
  5. Step 5: Solve for x
    x = 30,608,731.08/6,033.48
  6. Step 6: Final answer
    x = 5,073.15

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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.