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Finding the Fourth Proportional to 3,625.52, 5,437.82 and 1,028.66

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Solution

The fourth proportional to 3,625.52, 5,437.82 and 1,028.66 is: 1,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.52 : 5,437.82 = 1,028.66 : x
  2. Step 2: Convert to fraction form
    3,625.52/5,437.82 = 1,028.66/x
  3. Step 3: Cross multiply
    3,625.52x = 5,437.82 × 1,028.66
  4. Step 4: Simplify right side
    3,625.52x = 5,593,643.30
  5. Step 5: Solve for x
    x = 5,593,643.30/3,625.52
  6. Step 6: Final answer
    x = 1,542.85

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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.