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Finding the Fourth Proportional to 5,165.37, 7,748.06 and 1,467.92

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Solution

The fourth proportional to 5,165.37, 7,748.06 and 1,467.92 is: 2,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.37 : 7,748.06 = 1,467.92 : x
  2. Step 2: Convert to fraction form
    5,165.37/7,748.06 = 1,467.92/x
  3. Step 3: Cross multiply
    5,165.37x = 7,748.06 × 1,467.92
  4. Step 4: Simplify right side
    5,165.37x = 11,373,544.27
  5. Step 5: Solve for x
    x = 11,373,544.27/5,165.37
  6. Step 6: Final answer
    x = 2,201.88

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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.