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Finding the Fourth Proportional to 3,745.53, 5,615.46 and 1,796.67

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Solution

The fourth proportional to 3,745.53, 5,615.46 and 1,796.67 is: 2,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.53 : 5,615.46 = 1,796.67 : x
  2. Step 2: Convert to fraction form
    3,745.53/5,615.46 = 1,796.67/x
  3. Step 3: Cross multiply
    3,745.53x = 5,615.46 × 1,796.67
  4. Step 4: Simplify right side
    3,745.53x = 10,089,128.52
  5. Step 5: Solve for x
    x = 10,089,128.52/3,745.53
  6. Step 6: Final answer
    x = 2,693.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.