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Finding the Fourth Proportional to 3,786.77, 5,224.78 and 2,371.14

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Solution

The fourth proportional to 3,786.77, 5,224.78 and 2,371.14 is: 3,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.77 : 5,224.78 = 2,371.14 : x
  2. Step 2: Convert to fraction form
    3,786.77/5,224.78 = 2,371.14/x
  3. Step 3: Cross multiply
    3,786.77x = 5,224.78 × 2,371.14
  4. Step 4: Simplify right side
    3,786.77x = 12,388,678.92
  5. Step 5: Solve for x
    x = 12,388,678.92/3,786.77
  6. Step 6: Final answer
    x = 3,271.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.