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Finding the Fourth Proportional to 5,131.84, 7,713.81 and 3,388.05

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Solution

The fourth proportional to 5,131.84, 7,713.81 and 3,388.05 is: 5,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.84 : 7,713.81 = 3,388.05 : x
  2. Step 2: Convert to fraction form
    5,131.84/7,713.81 = 3,388.05/x
  3. Step 3: Cross multiply
    5,131.84x = 7,713.81 × 3,388.05
  4. Step 4: Simplify right side
    5,131.84x = 26,134,773.97
  5. Step 5: Solve for x
    x = 26,134,773.97/5,131.84
  6. Step 6: Final answer
    x = 5,092.67

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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.