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Finding the Fourth Proportional to 5,072.67, 7,597.46 and 3,505.57

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Solution

The fourth proportional to 5,072.67, 7,597.46 and 3,505.57 is: 5,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.67 : 7,597.46 = 3,505.57 : x
  2. Step 2: Convert to fraction form
    5,072.67/7,597.46 = 3,505.57/x
  3. Step 3: Cross multiply
    5,072.67x = 7,597.46 × 3,505.57
  4. Step 4: Simplify right side
    5,072.67x = 26,633,391.33
  5. Step 5: Solve for x
    x = 26,633,391.33/5,072.67
  6. Step 6: Final answer
    x = 5,250.37

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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.