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Finding the Fourth Proportional to 3,857.64, 5,786.70 and 1,549.14

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Solution

The fourth proportional to 3,857.64, 5,786.70 and 1,549.14 is: 2,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.64 : 5,786.70 = 1,549.14 : x
  2. Step 2: Convert to fraction form
    3,857.64/5,786.70 = 1,549.14/x
  3. Step 3: Cross multiply
    3,857.64x = 5,786.70 × 1,549.14
  4. Step 4: Simplify right side
    3,857.64x = 8,964,408.44
  5. Step 5: Solve for x
    x = 8,964,408.44/3,857.64
  6. Step 6: Final answer
    x = 2,323.81

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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.