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Finding the Fourth Proportional to 3,627.45, 5,004.81 and 2,114.73

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Solution

The fourth proportional to 3,627.45, 5,004.81 and 2,114.73 is: 2,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.45 : 5,004.81 = 2,114.73 : x
  2. Step 2: Convert to fraction form
    3,627.45/5,004.81 = 2,114.73/x
  3. Step 3: Cross multiply
    3,627.45x = 5,004.81 × 2,114.73
  4. Step 4: Simplify right side
    3,627.45x = 10,583,821.85
  5. Step 5: Solve for x
    x = 10,583,821.85/3,627.45
  6. Step 6: Final answer
    x = 2,917.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.