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Finding the Fourth Proportional to 5,553.29, 7,661.34 and 3,194.16

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Solution

The fourth proportional to 5,553.29, 7,661.34 and 3,194.16 is: 4,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553.29 : 7,661.34 = 3,194.16 : x
  2. Step 2: Convert to fraction form
    5,553.29/7,661.34 = 3,194.16/x
  3. Step 3: Cross multiply
    5,553.29x = 7,661.34 × 3,194.16
  4. Step 4: Simplify right side
    5,553.29x = 24,471,545.77
  5. Step 5: Solve for x
    x = 24,471,545.77/5,553.29
  6. Step 6: Final answer
    x = 4,406.68

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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.