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Finding the Fourth Proportional to 3,493.26, 5,239.88 and 1,028.08

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Solution

The fourth proportional to 3,493.26, 5,239.88 and 1,028.08 is: 1,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.26 : 5,239.88 = 1,028.08 : x
  2. Step 2: Convert to fraction form
    3,493.26/5,239.88 = 1,028.08/x
  3. Step 3: Cross multiply
    3,493.26x = 5,239.88 × 1,028.08
  4. Step 4: Simplify right side
    3,493.26x = 5,387,005.30
  5. Step 5: Solve for x
    x = 5,387,005.30/3,493.26
  6. Step 6: Final answer
    x = 1,542.11

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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.