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Finding the Fourth Proportional to 3,411.82, 5,120.01 and 1,464.49

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Solution

The fourth proportional to 3,411.82, 5,120.01 and 1,464.49 is: 2,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.82 : 5,120.01 = 1,464.49 : x
  2. Step 2: Convert to fraction form
    3,411.82/5,120.01 = 1,464.49/x
  3. Step 3: Cross multiply
    3,411.82x = 5,120.01 × 1,464.49
  4. Step 4: Simplify right side
    3,411.82x = 7,498,203.44
  5. Step 5: Solve for x
    x = 7,498,203.44/3,411.82
  6. Step 6: Final answer
    x = 2,197.71

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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.