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Finding the Fourth Proportional to 3,643.28, 5,472.28 and 2,185.20

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Solution

The fourth proportional to 3,643.28, 5,472.28 and 2,185.20 is: 3,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.28 : 5,472.28 = 2,185.20 : x
  2. Step 2: Convert to fraction form
    3,643.28/5,472.28 = 2,185.20/x
  3. Step 3: Cross multiply
    3,643.28x = 5,472.28 × 2,185.20
  4. Step 4: Simplify right side
    3,643.28x = 11,958,026.26
  5. Step 5: Solve for x
    x = 11,958,026.26/3,643.28
  6. Step 6: Final answer
    x = 3,282.21

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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.