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Finding the Fourth Proportional to 3,793.74, 5,238.06 and 3,165.89

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Solution

The fourth proportional to 3,793.74, 5,238.06 and 3,165.89 is: 4,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.74 : 5,238.06 = 3,165.89 : x
  2. Step 2: Convert to fraction form
    3,793.74/5,238.06 = 3,165.89/x
  3. Step 3: Cross multiply
    3,793.74x = 5,238.06 × 3,165.89
  4. Step 4: Simplify right side
    3,793.74x = 16,583,142.78
  5. Step 5: Solve for x
    x = 16,583,142.78/3,793.74
  6. Step 6: Final answer
    x = 4,371.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.