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Finding the Fourth Proportional to 3,846.18, 5,769.99 and 1,248.42

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Solution

The fourth proportional to 3,846.18, 5,769.99 and 1,248.42 is: 1,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.18 : 5,769.99 = 1,248.42 : x
  2. Step 2: Convert to fraction form
    3,846.18/5,769.99 = 1,248.42/x
  3. Step 3: Cross multiply
    3,846.18x = 5,769.99 × 1,248.42
  4. Step 4: Simplify right side
    3,846.18x = 7,203,370.92
  5. Step 5: Solve for x
    x = 7,203,370.92/3,846.18
  6. Step 6: Final answer
    x = 1,872.86

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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.