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Finding the Fourth Proportional to 3,759.66, 5,188.72 and 2,166.37

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Solution

The fourth proportional to 3,759.66, 5,188.72 and 2,166.37 is: 2,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.66 : 5,188.72 = 2,166.37 : x
  2. Step 2: Convert to fraction form
    3,759.66/5,188.72 = 2,166.37/x
  3. Step 3: Cross multiply
    3,759.66x = 5,188.72 × 2,166.37
  4. Step 4: Simplify right side
    3,759.66x = 11,240,696.54
  5. Step 5: Solve for x
    x = 11,240,696.54/3,759.66
  6. Step 6: Final answer
    x = 2,989.82

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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.