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Finding the Fourth Proportional to 3,676.50, 5,514.75 and 3,491.94

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Solution

The fourth proportional to 3,676.50, 5,514.75 and 3,491.94 is: 5,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.50 : 5,514.75 = 3,491.94 : x
  2. Step 2: Convert to fraction form
    3,676.50/5,514.75 = 3,491.94/x
  3. Step 3: Cross multiply
    3,676.50x = 5,514.75 × 3,491.94
  4. Step 4: Simplify right side
    3,676.50x = 19,257,176.12
  5. Step 5: Solve for x
    x = 19,257,176.12/3,676.50
  6. Step 6: Final answer
    x = 5,237.91

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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.