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Finding the Fourth Proportional to 5,186.82, 7,160.22 and 3,061.65

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Solution

The fourth proportional to 5,186.82, 7,160.22 and 3,061.65 is: 4,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.82 : 7,160.22 = 3,061.65 : x
  2. Step 2: Convert to fraction form
    5,186.82/7,160.22 = 3,061.65/x
  3. Step 3: Cross multiply
    5,186.82x = 7,160.22 × 3,061.65
  4. Step 4: Simplify right side
    5,186.82x = 21,922,087.56
  5. Step 5: Solve for x
    x = 21,922,087.56/5,186.82
  6. Step 6: Final answer
    x = 4,226.50

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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.