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Finding the Fourth Proportional to 5,211.16, 7,811.34 and 3,908.68

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Solution

The fourth proportional to 5,211.16, 7,811.34 and 3,908.68 is: 5,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.16 : 7,811.34 = 3,908.68 : x
  2. Step 2: Convert to fraction form
    5,211.16/7,811.34 = 3,908.68/x
  3. Step 3: Cross multiply
    5,211.16x = 7,811.34 × 3,908.68
  4. Step 4: Simplify right side
    5,211.16x = 30,532,028.43
  5. Step 5: Solve for x
    x = 30,532,028.43/5,211.16
  6. Step 6: Final answer
    x = 5,858.97

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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.