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Finding the Fourth Proportional to 3,743.70, 5,166.28 and 2,173.11

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Solution

The fourth proportional to 3,743.70, 5,166.28 and 2,173.11 is: 2,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.70 : 5,166.28 = 2,173.11 : x
  2. Step 2: Convert to fraction form
    3,743.70/5,166.28 = 2,173.11/x
  3. Step 3: Cross multiply
    3,743.70x = 5,166.28 × 2,173.11
  4. Step 4: Simplify right side
    3,743.70x = 11,226,894.73
  5. Step 5: Solve for x
    x = 11,226,894.73/3,743.70
  6. Step 6: Final answer
    x = 2,998.88

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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.