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Finding the Fourth Proportional to 5,754.21, 7,940.70 and 3,396.30

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Solution

The fourth proportional to 5,754.21, 7,940.70 and 3,396.30 is: 4,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.21 : 7,940.70 = 3,396.30 : x
  2. Step 2: Convert to fraction form
    5,754.21/7,940.70 = 3,396.30/x
  3. Step 3: Cross multiply
    5,754.21x = 7,940.70 × 3,396.30
  4. Step 4: Simplify right side
    5,754.21x = 26,968,999.41
  5. Step 5: Solve for x
    x = 26,968,999.41/5,754.21
  6. Step 6: Final answer
    x = 4,686.83

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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.