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Finding the Fourth Proportional to 5,055, 6,975.63 and 2,786.27

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Solution

The fourth proportional to 5,055, 6,975.63 and 2,786.27 is: 3,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055 : 6,975.63 = 2,786.27 : x
  2. Step 2: Convert to fraction form
    5,055/6,975.63 = 2,786.27/x
  3. Step 3: Cross multiply
    5,055x = 6,975.63 × 2,786.27
  4. Step 4: Simplify right side
    5,055x = 19,435,953.72
  5. Step 5: Solve for x
    x = 19,435,953.72/5,055
  6. Step 6: Final answer
    x = 3,844.90

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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.