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Finding the Fourth Proportional to 5,072.40, 7,608.40 and 1,609.52

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Solution

The fourth proportional to 5,072.40, 7,608.40 and 1,609.52 is: 2,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.40 : 7,608.40 = 1,609.52 : x
  2. Step 2: Convert to fraction form
    5,072.40/7,608.40 = 1,609.52/x
  3. Step 3: Cross multiply
    5,072.40x = 7,608.40 × 1,609.52
  4. Step 4: Simplify right side
    5,072.40x = 12,245,871.97
  5. Step 5: Solve for x
    x = 12,245,871.97/5,072.40
  6. Step 6: Final answer
    x = 2,414.22

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Why These Related Problems?

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