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Finding the Fourth Proportional to 3,481.34, 5,222.01 and 1,748.75

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Solution

The fourth proportional to 3,481.34, 5,222.01 and 1,748.75 is: 2,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.34 : 5,222.01 = 1,748.75 : x
  2. Step 2: Convert to fraction form
    3,481.34/5,222.01 = 1,748.75/x
  3. Step 3: Cross multiply
    3,481.34x = 5,222.01 × 1,748.75
  4. Step 4: Simplify right side
    3,481.34x = 9,131,989.99
  5. Step 5: Solve for x
    x = 9,131,989.99/3,481.34
  6. Step 6: Final answer
    x = 2,623.13

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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.