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Finding the Fourth Proportional to 3,882.62, 5,820.89 and 2,646.96

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Solution

The fourth proportional to 3,882.62, 5,820.89 and 2,646.96 is: 3,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.62 : 5,820.89 = 2,646.96 : x
  2. Step 2: Convert to fraction form
    3,882.62/5,820.89 = 2,646.96/x
  3. Step 3: Cross multiply
    3,882.62x = 5,820.89 × 2,646.96
  4. Step 4: Simplify right side
    3,882.62x = 15,407,649.76
  5. Step 5: Solve for x
    x = 15,407,649.76/3,882.62
  6. Step 6: Final answer
    x = 3,968.37

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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.