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Finding the Fourth Proportional to 3,759.66, 5,188.44 and 2,166.60

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Solution

The fourth proportional to 3,759.66, 5,188.44 and 2,166.60 is: 2,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.66 : 5,188.44 = 2,166.60 : x
  2. Step 2: Convert to fraction form
    3,759.66/5,188.44 = 2,166.60/x
  3. Step 3: Cross multiply
    3,759.66x = 5,188.44 × 2,166.60
  4. Step 4: Simplify right side
    3,759.66x = 11,241,274.10
  5. Step 5: Solve for x
    x = 11,241,274.10/3,759.66
  6. Step 6: Final answer
    x = 2,989.97

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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.