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Finding the Fourth Proportional to 4,113.67, 6,165.13 and 3,592.44

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Solution

The fourth proportional to 4,113.67, 6,165.13 and 3,592.44 is: 5,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.67 : 6,165.13 = 3,592.44 : x
  2. Step 2: Convert to fraction form
    4,113.67/6,165.13 = 3,592.44/x
  3. Step 3: Cross multiply
    4,113.67x = 6,165.13 × 3,592.44
  4. Step 4: Simplify right side
    4,113.67x = 22,147,859.62
  5. Step 5: Solve for x
    x = 22,147,859.62/4,113.67
  6. Step 6: Final answer
    x = 5,383.97

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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.