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Finding the Fourth Proportional to 4,997.36, 6,902.48 and 3,744.02

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Solution

The fourth proportional to 4,997.36, 6,902.48 and 3,744.02 is: 5,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.36 : 6,902.48 = 3,744.02 : x
  2. Step 2: Convert to fraction form
    4,997.36/6,902.48 = 3,744.02/x
  3. Step 3: Cross multiply
    4,997.36x = 6,902.48 × 3,744.02
  4. Step 4: Simplify right side
    4,997.36x = 25,842,998.02
  5. Step 5: Solve for x
    x = 25,842,998.02/4,997.36
  6. Step 6: Final answer
    x = 5,171.34

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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.