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Finding the Fourth Proportional to 8,649.33, 12,974.00 and 3,456.42

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Solution

The fourth proportional to 8,649.33, 12,974.00 and 3,456.42 is: 5,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.33 : 12,974.00 = 3,456.42 : x
  2. Step 2: Convert to fraction form
    8,649.33/12,974.00 = 3,456.42/x
  3. Step 3: Cross multiply
    8,649.33x = 12,974.00 × 3,456.42
  4. Step 4: Simplify right side
    8,649.33x = 44,843,575.80
  5. Step 5: Solve for x
    x = 44,843,575.80/8,649.33
  6. Step 6: Final answer
    x = 5,184.63

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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.