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Finding the Fourth Proportional to 3,673.80, 5,069.80 and 2,080.77

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Solution

The fourth proportional to 3,673.80, 5,069.80 and 2,080.77 is: 2,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.80 : 5,069.80 = 2,080.77 : x
  2. Step 2: Convert to fraction form
    3,673.80/5,069.80 = 2,080.77/x
  3. Step 3: Cross multiply
    3,673.80x = 5,069.80 × 2,080.77
  4. Step 4: Simplify right side
    3,673.80x = 10,549,087.75
  5. Step 5: Solve for x
    x = 10,549,087.75/3,673.80
  6. Step 6: Final answer
    x = 2,871.44

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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.