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Finding the Fourth Proportional to 3,533.75, 5,296.59 and 1,682.24

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Solution

The fourth proportional to 3,533.75, 5,296.59 and 1,682.24 is: 2,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.75 : 5,296.59 = 1,682.24 : x
  2. Step 2: Convert to fraction form
    3,533.75/5,296.59 = 1,682.24/x
  3. Step 3: Cross multiply
    3,533.75x = 5,296.59 × 1,682.24
  4. Step 4: Simplify right side
    3,533.75x = 8,910,135.56
  5. Step 5: Solve for x
    x = 8,910,135.56/3,533.75
  6. Step 6: Final answer
    x = 2,521.44

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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.