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Finding the Fourth Proportional to 3,662.09, 5,053.69 and 2,170.74

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Solution

The fourth proportional to 3,662.09, 5,053.69 and 2,170.74 is: 2,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.09 : 5,053.69 = 2,170.74 : x
  2. Step 2: Convert to fraction form
    3,662.09/5,053.69 = 2,170.74/x
  3. Step 3: Cross multiply
    3,662.09x = 5,053.69 × 2,170.74
  4. Step 4: Simplify right side
    3,662.09x = 10,970,247.03
  5. Step 5: Solve for x
    x = 10,970,247.03/3,662.09
  6. Step 6: Final answer
    x = 2,995.62

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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.