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Finding the Fourth Proportional to 3,663.70, 5,055.57 and 2,171.37

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Solution

The fourth proportional to 3,663.70, 5,055.57 and 2,171.37 is: 2,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.70 : 5,055.57 = 2,171.37 : x
  2. Step 2: Convert to fraction form
    3,663.70/5,055.57 = 2,171.37/x
  3. Step 3: Cross multiply
    3,663.70x = 5,055.57 × 2,171.37
  4. Step 4: Simplify right side
    3,663.70x = 10,977,525.67
  5. Step 5: Solve for x
    x = 10,977,525.67/3,663.70
  6. Step 6: Final answer
    x = 2,996.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.