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Finding the Fourth Proportional to 4,754.66, 7,132.18 and 1,467.78

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Solution

The fourth proportional to 4,754.66, 7,132.18 and 1,467.78 is: 2,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.66 : 7,132.18 = 1,467.78 : x
  2. Step 2: Convert to fraction form
    4,754.66/7,132.18 = 1,467.78/x
  3. Step 3: Cross multiply
    4,754.66x = 7,132.18 × 1,467.78
  4. Step 4: Simplify right side
    4,754.66x = 10,468,471.16
  5. Step 5: Solve for x
    x = 10,468,471.16/4,754.66
  6. Step 6: Final answer
    x = 2,201.73

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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.