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Finding the Fourth Proportional to 4,986.36, 7,481.43 and 3,676.68

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Solution

The fourth proportional to 4,986.36, 7,481.43 and 3,676.68 is: 5,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.36 : 7,481.43 = 3,676.68 : x
  2. Step 2: Convert to fraction form
    4,986.36/7,481.43 = 3,676.68/x
  3. Step 3: Cross multiply
    4,986.36x = 7,481.43 × 3,676.68
  4. Step 4: Simplify right side
    4,986.36x = 27,506,824.05
  5. Step 5: Solve for x
    x = 27,506,824.05/4,986.36
  6. Step 6: Final answer
    x = 5,516.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.