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Finding the Fourth Proportional to 5,729.20, 7,904.20 and 3,371.34

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Solution

The fourth proportional to 5,729.20, 7,904.20 and 3,371.34 is: 4,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.20 : 7,904.20 = 3,371.34 : x
  2. Step 2: Convert to fraction form
    5,729.20/7,904.20 = 3,371.34/x
  3. Step 3: Cross multiply
    5,729.20x = 7,904.20 × 3,371.34
  4. Step 4: Simplify right side
    5,729.20x = 26,647,745.63
  5. Step 5: Solve for x
    x = 26,647,745.63/5,729.20
  6. Step 6: Final answer
    x = 4,651.22

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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.