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Finding the Fourth Proportional to 3,744.84, 5,164.38 and 2,960.76

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Solution

The fourth proportional to 3,744.84, 5,164.38 and 2,960.76 is: 4,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.84 : 5,164.38 = 2,960.76 : x
  2. Step 2: Convert to fraction form
    3,744.84/5,164.38 = 2,960.76/x
  3. Step 3: Cross multiply
    3,744.84x = 5,164.38 × 2,960.76
  4. Step 4: Simplify right side
    3,744.84x = 15,290,489.73
  5. Step 5: Solve for x
    x = 15,290,489.73/3,744.84
  6. Step 6: Final answer
    x = 4,083.08

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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.