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Finding the Fourth Proportional to 3,744.01, 5,164.44 and 2,399.16

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Solution

The fourth proportional to 3,744.01, 5,164.44 and 2,399.16 is: 3,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.01 : 5,164.44 = 2,399.16 : x
  2. Step 2: Convert to fraction form
    3,744.01/5,164.44 = 2,399.16/x
  3. Step 3: Cross multiply
    3,744.01x = 5,164.44 × 2,399.16
  4. Step 4: Simplify right side
    3,744.01x = 12,390,333.04
  5. Step 5: Solve for x
    x = 12,390,333.04/3,744.01
  6. Step 6: Final answer
    x = 3,309.38

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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.