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Finding the Fourth Proportional to 3,633.63, 5,452.41 and 2,813.50

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Solution

The fourth proportional to 3,633.63, 5,452.41 and 2,813.50 is: 4,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.63 : 5,452.41 = 2,813.50 : x
  2. Step 2: Convert to fraction form
    3,633.63/5,452.41 = 2,813.50/x
  3. Step 3: Cross multiply
    3,633.63x = 5,452.41 × 2,813.50
  4. Step 4: Simplify right side
    3,633.63x = 15,340,355.54
  5. Step 5: Solve for x
    x = 15,340,355.54/3,633.63
  6. Step 6: Final answer
    x = 4,221.77

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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.