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Finding the Fourth Proportional to 3,662.46, 5,054.00 and 2,170.53

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Solution

The fourth proportional to 3,662.46, 5,054.00 and 2,170.53 is: 2,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.46 : 5,054.00 = 2,170.53 : x
  2. Step 2: Convert to fraction form
    3,662.46/5,054.00 = 2,170.53/x
  3. Step 3: Cross multiply
    3,662.46x = 5,054.00 × 2,170.53
  4. Step 4: Simplify right side
    3,662.46x = 10,969,847.77
  5. Step 5: Solve for x
    x = 10,969,847.77/3,662.46
  6. Step 6: Final answer
    x = 2,995.21

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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.