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Finding the Fourth Proportional to 3,673.26, 5,510.07 and 1,481.72

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Solution

The fourth proportional to 3,673.26, 5,510.07 and 1,481.72 is: 2,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.26 : 5,510.07 = 1,481.72 : x
  2. Step 2: Convert to fraction form
    3,673.26/5,510.07 = 1,481.72/x
  3. Step 3: Cross multiply
    3,673.26x = 5,510.07 × 1,481.72
  4. Step 4: Simplify right side
    3,673.26x = 8,164,353.37
  5. Step 5: Solve for x
    x = 8,164,353.37/3,673.26
  6. Step 6: Final answer
    x = 2,222.65

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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.