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Finding the Fourth Proportional to 3,659.39, 5,049.98 and 1,980.80

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Solution

The fourth proportional to 3,659.39, 5,049.98 and 1,980.80 is: 2,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.39 : 5,049.98 = 1,980.80 : x
  2. Step 2: Convert to fraction form
    3,659.39/5,049.98 = 1,980.80/x
  3. Step 3: Cross multiply
    3,659.39x = 5,049.98 × 1,980.80
  4. Step 4: Simplify right side
    3,659.39x = 10,003,003.10
  5. Step 5: Solve for x
    x = 10,003,003.10/3,659.39
  6. Step 6: Final answer
    x = 2,733.51

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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.