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Finding the Fourth Proportional to 3,759.54, 5,188.56 and 2,166.26

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Solution

The fourth proportional to 3,759.54, 5,188.56 and 2,166.26 is: 2,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.54 : 5,188.56 = 2,166.26 : x
  2. Step 2: Convert to fraction form
    3,759.54/5,188.56 = 2,166.26/x
  3. Step 3: Cross multiply
    3,759.54x = 5,188.56 × 2,166.26
  4. Step 4: Simplify right side
    3,759.54x = 11,239,744.04
  5. Step 5: Solve for x
    x = 11,239,744.04/3,759.54
  6. Step 6: Final answer
    x = 2,989.66

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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.