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Finding the Fourth Proportional to 3,663.08, 5,055.42 and 2,171.24

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Solution

The fourth proportional to 3,663.08, 5,055.42 and 2,171.24 is: 2,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.08 : 5,055.42 = 2,171.24 : x
  2. Step 2: Convert to fraction form
    3,663.08/5,055.42 = 2,171.24/x
  3. Step 3: Cross multiply
    3,663.08x = 5,055.42 × 2,171.24
  4. Step 4: Simplify right side
    3,663.08x = 10,976,530.12
  5. Step 5: Solve for x
    x = 10,976,530.12/3,663.08
  6. Step 6: Final answer
    x = 2,996.53

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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.