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Finding the Fourth Proportional to 3,782.60, 5,220.28 and 2,189.77

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Solution

The fourth proportional to 3,782.60, 5,220.28 and 2,189.77 is: 3,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.60 : 5,220.28 = 2,189.77 : x
  2. Step 2: Convert to fraction form
    3,782.60/5,220.28 = 2,189.77/x
  3. Step 3: Cross multiply
    3,782.60x = 5,220.28 × 2,189.77
  4. Step 4: Simplify right side
    3,782.60x = 11,431,202.22
  5. Step 5: Solve for x
    x = 11,431,202.22/3,782.60
  6. Step 6: Final answer
    x = 3,022.05

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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.