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Finding the Fourth Proportional to 3,520.94, 5,278.21 and 1,467.82

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Solution

The fourth proportional to 3,520.94, 5,278.21 and 1,467.82 is: 2,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.94 : 5,278.21 = 1,467.82 : x
  2. Step 2: Convert to fraction form
    3,520.94/5,278.21 = 1,467.82/x
  3. Step 3: Cross multiply
    3,520.94x = 5,278.21 × 1,467.82
  4. Step 4: Simplify right side
    3,520.94x = 7,747,462.20
  5. Step 5: Solve for x
    x = 7,747,462.20/3,520.94
  6. Step 6: Final answer
    x = 2,200.40

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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.