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Finding the Fourth Proportional to 3,443.58, 5,164.04 and 1,467.96

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Solution

The fourth proportional to 3,443.58, 5,164.04 and 1,467.96 is: 2,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.58 : 5,164.04 = 1,467.96 : x
  2. Step 2: Convert to fraction form
    3,443.58/5,164.04 = 1,467.96/x
  3. Step 3: Cross multiply
    3,443.58x = 5,164.04 × 1,467.96
  4. Step 4: Simplify right side
    3,443.58x = 7,580,604.16
  5. Step 5: Solve for x
    x = 7,580,604.16/3,443.58
  6. Step 6: Final answer
    x = 2,201.37

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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.