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Finding the Fourth Proportional to 5,402.92, 7,456.11 and 3,166.12

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Solution

The fourth proportional to 5,402.92, 7,456.11 and 3,166.12 is: 4,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.92 : 7,456.11 = 3,166.12 : x
  2. Step 2: Convert to fraction form
    5,402.92/7,456.11 = 3,166.12/x
  3. Step 3: Cross multiply
    5,402.92x = 7,456.11 × 3,166.12
  4. Step 4: Simplify right side
    5,402.92x = 23,606,938.99
  5. Step 5: Solve for x
    x = 23,606,938.99/5,402.92
  6. Step 6: Final answer
    x = 4,369.29

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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.