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Finding the Fourth Proportional to 5,199.54, 7,176.17 and 3,311.93

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Solution

The fourth proportional to 5,199.54, 7,176.17 and 3,311.93 is: 4,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.54 : 7,176.17 = 3,311.93 : x
  2. Step 2: Convert to fraction form
    5,199.54/7,176.17 = 3,311.93/x
  3. Step 3: Cross multiply
    5,199.54x = 7,176.17 × 3,311.93
  4. Step 4: Simplify right side
    5,199.54x = 23,766,920.27
  5. Step 5: Solve for x
    x = 23,766,920.27/5,199.54
  6. Step 6: Final answer
    x = 4,570.97

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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.