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Finding the Fourth Proportional to 3,467.42, 5,203.05 and 1,519.57

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Solution

The fourth proportional to 3,467.42, 5,203.05 and 1,519.57 is: 2,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.42 : 5,203.05 = 1,519.57 : x
  2. Step 2: Convert to fraction form
    3,467.42/5,203.05 = 1,519.57/x
  3. Step 3: Cross multiply
    3,467.42x = 5,203.05 × 1,519.57
  4. Step 4: Simplify right side
    3,467.42x = 7,906,398.69
  5. Step 5: Solve for x
    x = 7,906,398.69/3,467.42
  6. Step 6: Final answer
    x = 2,280.20

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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.