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Finding the Fourth Proportional to 5,791.45, 7,992.25 and 3,400.80

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Solution

The fourth proportional to 5,791.45, 7,992.25 and 3,400.80 is: 4,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.45 : 7,992.25 = 3,400.80 : x
  2. Step 2: Convert to fraction form
    5,791.45/7,992.25 = 3,400.80/x
  3. Step 3: Cross multiply
    5,791.45x = 7,992.25 × 3,400.80
  4. Step 4: Simplify right side
    5,791.45x = 27,180,043.80
  5. Step 5: Solve for x
    x = 27,180,043.80/5,791.45
  6. Step 6: Final answer
    x = 4,693.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.