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Finding the Fourth Proportional to 3,744.72, 5,165.64 and 2,627.33

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Solution

The fourth proportional to 3,744.72, 5,165.64 and 2,627.33 is: 3,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.72 : 5,165.64 = 2,627.33 : x
  2. Step 2: Convert to fraction form
    3,744.72/5,165.64 = 2,627.33/x
  3. Step 3: Cross multiply
    3,744.72x = 5,165.64 × 2,627.33
  4. Step 4: Simplify right side
    3,744.72x = 13,571,815.11
  5. Step 5: Solve for x
    x = 13,571,815.11/3,744.72
  6. Step 6: Final answer
    x = 3,624.25

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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.