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Finding the Fourth Proportional to 3,744.01, 5,166.57 and 2,149.56

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Solution

The fourth proportional to 3,744.01, 5,166.57 and 2,149.56 is: 2,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.01 : 5,166.57 = 2,149.56 : x
  2. Step 2: Convert to fraction form
    3,744.01/5,166.57 = 2,149.56/x
  3. Step 3: Cross multiply
    3,744.01x = 5,166.57 × 2,149.56
  4. Step 4: Simplify right side
    3,744.01x = 11,105,852.21
  5. Step 5: Solve for x
    x = 11,105,852.21/3,744.01
  6. Step 6: Final answer
    x = 2,966.30

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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.