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Finding the Fourth Proportional to 3,627.66, 5,441.85 and 1,161.63

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Solution

The fourth proportional to 3,627.66, 5,441.85 and 1,161.63 is: 1,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.66 : 5,441.85 = 1,161.63 : x
  2. Step 2: Convert to fraction form
    3,627.66/5,441.85 = 1,161.63/x
  3. Step 3: Cross multiply
    3,627.66x = 5,441.85 × 1,161.63
  4. Step 4: Simplify right side
    3,627.66x = 6,321,416.22
  5. Step 5: Solve for x
    x = 6,321,416.22/3,627.66
  6. Step 6: Final answer
    x = 1,742.56

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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.