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Finding the Fourth Proportional to 6,241.76, 8,615.28 and 3,882.56

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Solution

The fourth proportional to 6,241.76, 8,615.28 and 3,882.56 is: 5,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.76 : 8,615.28 = 3,882.56 : x
  2. Step 2: Convert to fraction form
    6,241.76/8,615.28 = 3,882.56/x
  3. Step 3: Cross multiply
    6,241.76x = 8,615.28 × 3,882.56
  4. Step 4: Simplify right side
    6,241.76x = 33,449,341.52
  5. Step 5: Solve for x
    x = 33,449,341.52/6,241.76
  6. Step 6: Final answer
    x = 5,358.96

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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.