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Finding the Fourth Proportional to 4,805.70, 7,203.15 and 2,464.80

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Solution

The fourth proportional to 4,805.70, 7,203.15 and 2,464.80 is: 3,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.70 : 7,203.15 = 2,464.80 : x
  2. Step 2: Convert to fraction form
    4,805.70/7,203.15 = 2,464.80/x
  3. Step 3: Cross multiply
    4,805.70x = 7,203.15 × 2,464.80
  4. Step 4: Simplify right side
    4,805.70x = 17,754,324.12
  5. Step 5: Solve for x
    x = 17,754,324.12/4,805.70
  6. Step 6: Final answer
    x = 3,694.43

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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.