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Finding the Fourth Proportional to 3,262.02, 4,893.01 and 796.85

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Solution

The fourth proportional to 3,262.02, 4,893.01 and 796.85 is: 1,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.02 : 4,893.01 = 796.85 : x
  2. Step 2: Convert to fraction form
    3,262.02/4,893.01 = 796.85/x
  3. Step 3: Cross multiply
    3,262.02x = 4,893.01 × 796.85
  4. Step 4: Simplify right side
    3,262.02x = 3,898,966.57
  5. Step 5: Solve for x
    x = 3,898,966.57/3,262.02
  6. Step 6: Final answer
    x = 1,195.26

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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.