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Finding the Fourth Proportional to 3,467.34, 5,201.01 and 2,748.06

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Solution

The fourth proportional to 3,467.34, 5,201.01 and 2,748.06 is: 4,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.34 : 5,201.01 = 2,748.06 : x
  2. Step 2: Convert to fraction form
    3,467.34/5,201.01 = 2,748.06/x
  3. Step 3: Cross multiply
    3,467.34x = 5,201.01 × 2,748.06
  4. Step 4: Simplify right side
    3,467.34x = 14,292,687.54
  5. Step 5: Solve for x
    x = 14,292,687.54/3,467.34
  6. Step 6: Final answer
    x = 4,122.09

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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.