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Finding the Fourth Proportional to 3,645.53, 5,469.16 and 1,180.35

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Solution

The fourth proportional to 3,645.53, 5,469.16 and 1,180.35 is: 1,770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.53 : 5,469.16 = 1,180.35 : x
  2. Step 2: Convert to fraction form
    3,645.53/5,469.16 = 1,180.35/x
  3. Step 3: Cross multiply
    3,645.53x = 5,469.16 × 1,180.35
  4. Step 4: Simplify right side
    3,645.53x = 6,455,520.06
  5. Step 5: Solve for x
    x = 6,455,520.06/3,645.53
  6. Step 6: Final answer
    x = 1,770.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.