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Finding the Fourth Proportional to 3,643.56, 5,467.67 and 1,452.41

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Solution

The fourth proportional to 3,643.56, 5,467.67 and 1,452.41 is: 2,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.56 : 5,467.67 = 1,452.41 : x
  2. Step 2: Convert to fraction form
    3,643.56/5,467.67 = 1,452.41/x
  3. Step 3: Cross multiply
    3,643.56x = 5,467.67 × 1,452.41
  4. Step 4: Simplify right side
    3,643.56x = 7,941,298.58
  5. Step 5: Solve for x
    x = 7,941,298.58/3,643.56
  6. Step 6: Final answer
    x = 2,179.54

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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.