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Finding the Fourth Proportional to 5,746.70, 7,933.78 and 3,760.73

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Solution

The fourth proportional to 5,746.70, 7,933.78 and 3,760.73 is: 5,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.70 : 7,933.78 = 3,760.73 : x
  2. Step 2: Convert to fraction form
    5,746.70/7,933.78 = 3,760.73/x
  3. Step 3: Cross multiply
    5,746.70x = 7,933.78 × 3,760.73
  4. Step 4: Simplify right side
    5,746.70x = 29,836,745.99
  5. Step 5: Solve for x
    x = 29,836,745.99/5,746.70
  6. Step 6: Final answer
    x = 5,191.98

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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.