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Finding the Fourth Proportional to 3,664.84, 5,057.49 and 2,173.48

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Solution

The fourth proportional to 3,664.84, 5,057.49 and 2,173.48 is: 2,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.84 : 5,057.49 = 2,173.48 : x
  2. Step 2: Convert to fraction form
    3,664.84/5,057.49 = 2,173.48/x
  3. Step 3: Cross multiply
    3,664.84x = 5,057.49 × 2,173.48
  4. Step 4: Simplify right side
    3,664.84x = 10,992,353.37
  5. Step 5: Solve for x
    x = 10,992,353.37/3,664.84
  6. Step 6: Final answer
    x = 2,999.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.