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Finding the Fourth Proportional to 3,663.43, 5,055.41 and 2,171.00

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Solution

The fourth proportional to 3,663.43, 5,055.41 and 2,171.00 is: 2,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.43 : 5,055.41 = 2,171.00 : x
  2. Step 2: Convert to fraction form
    3,663.43/5,055.41 = 2,171.00/x
  3. Step 3: Cross multiply
    3,663.43x = 5,055.41 × 2,171.00
  4. Step 4: Simplify right side
    3,663.43x = 10,975,313.18
  5. Step 5: Solve for x
    x = 10,975,313.18/3,663.43
  6. Step 6: Final answer
    x = 2,995.91

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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.