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Finding the Fourth Proportional to 3,223.28, 4,449.64 and 1,896.56

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Solution

The fourth proportional to 3,223.28, 4,449.64 and 1,896.56 is: 2,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.28 : 4,449.64 = 1,896.56 : x
  2. Step 2: Convert to fraction form
    3,223.28/4,449.64 = 1,896.56/x
  3. Step 3: Cross multiply
    3,223.28x = 4,449.64 × 1,896.56
  4. Step 4: Simplify right side
    3,223.28x = 8,439,009.24
  5. Step 5: Solve for x
    x = 8,439,009.24/3,223.28
  6. Step 6: Final answer
    x = 2,618.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.