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Finding the Fourth Proportional to 6,135.50, 8,467.08 and 3,341

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Solution

The fourth proportional to 6,135.50, 8,467.08 and 3,341 is: 4,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.50 : 8,467.08 = 3,341 : x
  2. Step 2: Convert to fraction form
    6,135.50/8,467.08 = 3,341/x
  3. Step 3: Cross multiply
    6,135.50x = 8,467.08 × 3,341
  4. Step 4: Simplify right side
    6,135.50x = 28,288,514.28
  5. Step 5: Solve for x
    x = 28,288,514.28/6,135.50
  6. Step 6: Final answer
    x = 4,610.63

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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.