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Finding the Fourth Proportional to 3,664.68, 5,055.48 and 2,171.88

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Solution

The fourth proportional to 3,664.68, 5,055.48 and 2,171.88 is: 2,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.68 : 5,055.48 = 2,171.88 : x
  2. Step 2: Convert to fraction form
    3,664.68/5,055.48 = 2,171.88/x
  3. Step 3: Cross multiply
    3,664.68x = 5,055.48 × 2,171.88
  4. Step 4: Simplify right side
    3,664.68x = 10,979,895.90
  5. Step 5: Solve for x
    x = 10,979,895.90/3,664.68
  6. Step 6: Final answer
    x = 2,996.14

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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.