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Finding the Fourth Proportional to 5,193.18, 7,161.84 and 4,059

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Solution

The fourth proportional to 5,193.18, 7,161.84 and 4,059 is: 5,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.18 : 7,161.84 = 4,059 : x
  2. Step 2: Convert to fraction form
    5,193.18/7,161.84 = 4,059/x
  3. Step 3: Cross multiply
    5,193.18x = 7,161.84 × 4,059
  4. Step 4: Simplify right side
    5,193.18x = 29,069,908.56
  5. Step 5: Solve for x
    x = 29,069,908.56/5,193.18
  6. Step 6: Final answer
    x = 5,597.71

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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.