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Finding the Fourth Proportional to 3,743.94, 5,165.46 and 2,171.46

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Solution

The fourth proportional to 3,743.94, 5,165.46 and 2,171.46 is: 2,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.94 : 5,165.46 = 2,171.46 : x
  2. Step 2: Convert to fraction form
    3,743.94/5,165.46 = 2,171.46/x
  3. Step 3: Cross multiply
    3,743.94x = 5,165.46 × 2,171.46
  4. Step 4: Simplify right side
    3,743.94x = 11,216,589.77
  5. Step 5: Solve for x
    x = 11,216,589.77/3,743.94
  6. Step 6: Final answer
    x = 2,995.93

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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.