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Finding the Fourth Proportional to 3,662.78, 5,497.24 and 1,584.37

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Solution

The fourth proportional to 3,662.78, 5,497.24 and 1,584.37 is: 2,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.78 : 5,497.24 = 1,584.37 : x
  2. Step 2: Convert to fraction form
    3,662.78/5,497.24 = 1,584.37/x
  3. Step 3: Cross multiply
    3,662.78x = 5,497.24 × 1,584.37
  4. Step 4: Simplify right side
    3,662.78x = 8,709,662.14
  5. Step 5: Solve for x
    x = 8,709,662.14/3,662.78
  6. Step 6: Final answer
    x = 2,377.88

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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.