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Finding the Fourth Proportional to 3,678.81, 5,081.68 and 3,625.27

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Solution

The fourth proportional to 3,678.81, 5,081.68 and 3,625.27 is: 5,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.81 : 5,081.68 = 3,625.27 : x
  2. Step 2: Convert to fraction form
    3,678.81/5,081.68 = 3,625.27/x
  3. Step 3: Cross multiply
    3,678.81x = 5,081.68 × 3,625.27
  4. Step 4: Simplify right side
    3,678.81x = 18,422,462.05
  5. Step 5: Solve for x
    x = 18,422,462.05/3,678.81
  6. Step 6: Final answer
    x = 5,007.72

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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.