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Finding the Fourth Proportional to 3,493.35, 5,240.91 and 1,028.25

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Solution

The fourth proportional to 3,493.35, 5,240.91 and 1,028.25 is: 1,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.35 : 5,240.91 = 1,028.25 : x
  2. Step 2: Convert to fraction form
    3,493.35/5,240.91 = 1,028.25/x
  3. Step 3: Cross multiply
    3,493.35x = 5,240.91 × 1,028.25
  4. Step 4: Simplify right side
    3,493.35x = 5,388,965.71
  5. Step 5: Solve for x
    x = 5,388,965.71/3,493.35
  6. Step 6: Final answer
    x = 1,542.64

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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.