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Finding the Fourth Proportional to 5,343.44, 8,019 and 2,382.62

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Solution

The fourth proportional to 5,343.44, 8,019 and 2,382.62 is: 3,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.44 : 8,019 = 2,382.62 : x
  2. Step 2: Convert to fraction form
    5,343.44/8,019 = 2,382.62/x
  3. Step 3: Cross multiply
    5,343.44x = 8,019 × 2,382.62
  4. Step 4: Simplify right side
    5,343.44x = 19,106,189.69
  5. Step 5: Solve for x
    x = 19,106,189.69/5,343.44
  6. Step 6: Final answer
    x = 3,575.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.