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Finding the Fourth Proportional to 3,930.42, 5,892.12 and 1,463.52

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Solution

The fourth proportional to 3,930.42, 5,892.12 and 1,463.52 is: 2,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.42 : 5,892.12 = 1,463.52 : x
  2. Step 2: Convert to fraction form
    3,930.42/5,892.12 = 1,463.52/x
  3. Step 3: Cross multiply
    3,930.42x = 5,892.12 × 1,463.52
  4. Step 4: Simplify right side
    3,930.42x = 8,623,235.46
  5. Step 5: Solve for x
    x = 8,623,235.46/3,930.42
  6. Step 6: Final answer
    x = 2,193.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.