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Finding the Fourth Proportional to 3,663.44, 5,055.23 and 2,171.12

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Solution

The fourth proportional to 3,663.44, 5,055.23 and 2,171.12 is: 2,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.44 : 5,055.23 = 2,171.12 : x
  2. Step 2: Convert to fraction form
    3,663.44/5,055.23 = 2,171.12/x
  3. Step 3: Cross multiply
    3,663.44x = 5,055.23 × 2,171.12
  4. Step 4: Simplify right side
    3,663.44x = 10,975,507.33
  5. Step 5: Solve for x
    x = 10,975,507.33/3,663.44
  6. Step 6: Final answer
    x = 2,995.95

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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.