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Finding the Fourth Proportional to 3,298.96, 4,932.60 and 3,221.20

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Solution

The fourth proportional to 3,298.96, 4,932.60 and 3,221.20 is: 4,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.96 : 4,932.60 = 3,221.20 : x
  2. Step 2: Convert to fraction form
    3,298.96/4,932.60 = 3,221.20/x
  3. Step 3: Cross multiply
    3,298.96x = 4,932.60 × 3,221.20
  4. Step 4: Simplify right side
    3,298.96x = 15,888,891.12
  5. Step 5: Solve for x
    x = 15,888,891.12/3,298.96
  6. Step 6: Final answer
    x = 4,816.33

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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.