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Finding the Fourth Proportional to 3,665.43, 5,496.09 and 1,584.14

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Solution

The fourth proportional to 3,665.43, 5,496.09 and 1,584.14 is: 2,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.43 : 5,496.09 = 1,584.14 : x
  2. Step 2: Convert to fraction form
    3,665.43/5,496.09 = 1,584.14/x
  3. Step 3: Cross multiply
    3,665.43x = 5,496.09 × 1,584.14
  4. Step 4: Simplify right side
    3,665.43x = 8,706,576.01
  5. Step 5: Solve for x
    x = 8,706,576.01/3,665.43
  6. Step 6: Final answer
    x = 2,375.32

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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.