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Finding the Fourth Proportional to 3,530.28, 5,296.02 and 1,221.24

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Solution

The fourth proportional to 3,530.28, 5,296.02 and 1,221.24 is: 1,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.28 : 5,296.02 = 1,221.24 : x
  2. Step 2: Convert to fraction form
    3,530.28/5,296.02 = 1,221.24/x
  3. Step 3: Cross multiply
    3,530.28x = 5,296.02 × 1,221.24
  4. Step 4: Simplify right side
    3,530.28x = 6,467,711.46
  5. Step 5: Solve for x
    x = 6,467,711.46/3,530.28
  6. Step 6: Final answer
    x = 1,832.07

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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.