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Finding the Fourth Proportional to 3,786.84, 5,679 and 1,812.24

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Solution

The fourth proportional to 3,786.84, 5,679 and 1,812.24 is: 2,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.84 : 5,679 = 1,812.24 : x
  2. Step 2: Convert to fraction form
    3,786.84/5,679 = 1,812.24/x
  3. Step 3: Cross multiply
    3,786.84x = 5,679 × 1,812.24
  4. Step 4: Simplify right side
    3,786.84x = 10,291,710.96
  5. Step 5: Solve for x
    x = 10,291,710.96/3,786.84
  6. Step 6: Final answer
    x = 2,717.76

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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.