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Finding the Fourth Proportional to 3,744.62, 5,616.92 and 1,664.14

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Solution

The fourth proportional to 3,744.62, 5,616.92 and 1,664.14 is: 2,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.62 : 5,616.92 = 1,664.14 : x
  2. Step 2: Convert to fraction form
    3,744.62/5,616.92 = 1,664.14/x
  3. Step 3: Cross multiply
    3,744.62x = 5,616.92 × 1,664.14
  4. Step 4: Simplify right side
    3,744.62x = 9,347,341.25
  5. Step 5: Solve for x
    x = 9,347,341.25/3,744.62
  6. Step 6: Final answer
    x = 2,496.21

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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.