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Finding the Fourth Proportional to 5,794.21, 7,997.45 and 3,807.46

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Solution

The fourth proportional to 5,794.21, 7,997.45 and 3,807.46 is: 5,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.21 : 7,997.45 = 3,807.46 : x
  2. Step 2: Convert to fraction form
    5,794.21/7,997.45 = 3,807.46/x
  3. Step 3: Cross multiply
    5,794.21x = 7,997.45 × 3,807.46
  4. Step 4: Simplify right side
    5,794.21x = 30,449,970.98
  5. Step 5: Solve for x
    x = 30,449,970.98/5,794.21
  6. Step 6: Final answer
    x = 5,255.24

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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.