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Finding the Fourth Proportional to 5,240.65, 7,231.93 and 2,882.78

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Solution

The fourth proportional to 5,240.65, 7,231.93 and 2,882.78 is: 3,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.65 : 7,231.93 = 2,882.78 : x
  2. Step 2: Convert to fraction form
    5,240.65/7,231.93 = 2,882.78/x
  3. Step 3: Cross multiply
    5,240.65x = 7,231.93 × 2,882.78
  4. Step 4: Simplify right side
    5,240.65x = 20,848,019.80
  5. Step 5: Solve for x
    x = 20,848,019.80/5,240.65
  6. Step 6: Final answer
    x = 3,978.14

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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.