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Finding the Fourth Proportional to 3,644.22, 5,007.24 and 2,896.89

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Solution

The fourth proportional to 3,644.22, 5,007.24 and 2,896.89 is: 3,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.22 : 5,007.24 = 2,896.89 : x
  2. Step 2: Convert to fraction form
    3,644.22/5,007.24 = 2,896.89/x
  3. Step 3: Cross multiply
    3,644.22x = 5,007.24 × 2,896.89
  4. Step 4: Simplify right side
    3,644.22x = 14,505,404.71
  5. Step 5: Solve for x
    x = 14,505,404.71/3,644.22
  6. Step 6: Final answer
    x = 3,980.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.