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Finding the Fourth Proportional to 5,452, 7,474.61 and 5,353.60

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Solution

The fourth proportional to 5,452, 7,474.61 and 5,353.60 is: 7,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452 : 7,474.61 = 5,353.60 : x
  2. Step 2: Convert to fraction form
    5,452/7,474.61 = 5,353.60/x
  3. Step 3: Cross multiply
    5,452x = 7,474.61 × 5,353.60
  4. Step 4: Simplify right side
    5,452x = 40,016,072.10
  5. Step 5: Solve for x
    x = 40,016,072.10/5,452
  6. Step 6: Final answer
    x = 7,339.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.