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Finding the Fourth Proportional to 3,627.75, 5,441.55 and 1,164.60

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Solution

The fourth proportional to 3,627.75, 5,441.55 and 1,164.60 is: 1,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.75 : 5,441.55 = 1,164.60 : x
  2. Step 2: Convert to fraction form
    3,627.75/5,441.55 = 1,164.60/x
  3. Step 3: Cross multiply
    3,627.75x = 5,441.55 × 1,164.60
  4. Step 4: Simplify right side
    3,627.75x = 6,337,229.13
  5. Step 5: Solve for x
    x = 6,337,229.13/3,627.75
  6. Step 6: Final answer
    x = 1,746.88

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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.