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Finding the Fourth Proportional to 3,628.82, 5,447.82 and 3,019.97

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Solution

The fourth proportional to 3,628.82, 5,447.82 and 3,019.97 is: 4,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.82 : 5,447.82 = 3,019.97 : x
  2. Step 2: Convert to fraction form
    3,628.82/5,447.82 = 3,019.97/x
  3. Step 3: Cross multiply
    3,628.82x = 5,447.82 × 3,019.97
  4. Step 4: Simplify right side
    3,628.82x = 16,452,225.73
  5. Step 5: Solve for x
    x = 16,452,225.73/3,628.82
  6. Step 6: Final answer
    x = 4,533.77

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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.