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Finding the Fourth Proportional to 5,453.88, 8,181.92 and 1,755.84

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Solution

The fourth proportional to 5,453.88, 8,181.92 and 1,755.84 is: 2,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.88 : 8,181.92 = 1,755.84 : x
  2. Step 2: Convert to fraction form
    5,453.88/8,181.92 = 1,755.84/x
  3. Step 3: Cross multiply
    5,453.88x = 8,181.92 × 1,755.84
  4. Step 4: Simplify right side
    5,453.88x = 14,366,142.41
  5. Step 5: Solve for x
    x = 14,366,142.41/5,453.88
  6. Step 6: Final answer
    x = 2,634.11

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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.