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Finding the Fourth Proportional to 3,635.88, 5,454.54 and 1,170.54

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Solution

The fourth proportional to 3,635.88, 5,454.54 and 1,170.54 is: 1,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.88 : 5,454.54 = 1,170.54 : x
  2. Step 2: Convert to fraction form
    3,635.88/5,454.54 = 1,170.54/x
  3. Step 3: Cross multiply
    3,635.88x = 5,454.54 × 1,170.54
  4. Step 4: Simplify right side
    3,635.88x = 6,384,757.25
  5. Step 5: Solve for x
    x = 6,384,757.25/3,635.88
  6. Step 6: Final answer
    x = 1,756.04

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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.