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Finding the Fourth Proportional to 3,642.39, 5,467.38 and 3,228.55

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Solution

The fourth proportional to 3,642.39, 5,467.38 and 3,228.55 is: 4,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.39 : 5,467.38 = 3,228.55 : x
  2. Step 2: Convert to fraction form
    3,642.39/5,467.38 = 3,228.55/x
  3. Step 3: Cross multiply
    3,642.39x = 5,467.38 × 3,228.55
  4. Step 4: Simplify right side
    3,642.39x = 17,651,709.70
  5. Step 5: Solve for x
    x = 17,651,709.70/3,642.39
  6. Step 6: Final answer
    x = 4,846.19

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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.