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Finding the Fourth Proportional to 3,201.96, 4,805.84 and 1,354.44

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Solution

The fourth proportional to 3,201.96, 4,805.84 and 1,354.44 is: 2,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.96 : 4,805.84 = 1,354.44 : x
  2. Step 2: Convert to fraction form
    3,201.96/4,805.84 = 1,354.44/x
  3. Step 3: Cross multiply
    3,201.96x = 4,805.84 × 1,354.44
  4. Step 4: Simplify right side
    3,201.96x = 6,509,221.93
  5. Step 5: Solve for x
    x = 6,509,221.93/3,201.96
  6. Step 6: Final answer
    x = 2,032.89

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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.