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Finding the Fourth Proportional to 5,614.14, 7,745.64 and 3,626.04

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Solution

The fourth proportional to 5,614.14, 7,745.64 and 3,626.04 is: 5,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.14 : 7,745.64 = 3,626.04 : x
  2. Step 2: Convert to fraction form
    5,614.14/7,745.64 = 3,626.04/x
  3. Step 3: Cross multiply
    5,614.14x = 7,745.64 × 3,626.04
  4. Step 4: Simplify right side
    5,614.14x = 28,086,000.47
  5. Step 5: Solve for x
    x = 28,086,000.47/5,614.14
  6. Step 6: Final answer
    x = 5,002.73

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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.