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Finding the Fourth Proportional to 3,538.08, 5,309.28 and 2,080.08

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Solution

The fourth proportional to 3,538.08, 5,309.28 and 2,080.08 is: 3,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.08 : 5,309.28 = 2,080.08 : x
  2. Step 2: Convert to fraction form
    3,538.08/5,309.28 = 2,080.08/x
  3. Step 3: Cross multiply
    3,538.08x = 5,309.28 × 2,080.08
  4. Step 4: Simplify right side
    3,538.08x = 11,043,727.14
  5. Step 5: Solve for x
    x = 11,043,727.14/3,538.08
  6. Step 6: Final answer
    x = 3,121.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.