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Finding the Fourth Proportional to 3,262.63, 4,893.91 and 797.47

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Solution

The fourth proportional to 3,262.63, 4,893.91 and 797.47 is: 1,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.63 : 4,893.91 = 797.47 : x
  2. Step 2: Convert to fraction form
    3,262.63/4,893.91 = 797.47/x
  3. Step 3: Cross multiply
    3,262.63x = 4,893.91 × 797.47
  4. Step 4: Simplify right side
    3,262.63x = 3,902,764.30
  5. Step 5: Solve for x
    x = 3,902,764.30/3,262.63
  6. Step 6: Final answer
    x = 1,196.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.