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Finding the Fourth Proportional to 5,397.27, 7,448.27 and 3,408.72

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Solution

The fourth proportional to 5,397.27, 7,448.27 and 3,408.72 is: 4,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.27 : 7,448.27 = 3,408.72 : x
  2. Step 2: Convert to fraction form
    5,397.27/7,448.27 = 3,408.72/x
  3. Step 3: Cross multiply
    5,397.27x = 7,448.27 × 3,408.72
  4. Step 4: Simplify right side
    5,397.27x = 25,389,049.87
  5. Step 5: Solve for x
    x = 25,389,049.87/5,397.27
  6. Step 6: Final answer
    x = 4,704.05

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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.