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Finding the Fourth Proportional to 3,857.27, 5,785.91 and 1,392.09

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Solution

The fourth proportional to 3,857.27, 5,785.91 and 1,392.09 is: 2,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.27 : 5,785.91 = 1,392.09 : x
  2. Step 2: Convert to fraction form
    3,857.27/5,785.91 = 1,392.09/x
  3. Step 3: Cross multiply
    3,857.27x = 5,785.91 × 1,392.09
  4. Step 4: Simplify right side
    3,857.27x = 8,054,500.49
  5. Step 5: Solve for x
    x = 8,054,500.49/3,857.27
  6. Step 6: Final answer
    x = 2,088.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.