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Finding the Fourth Proportional to 6,241.56, 8,619.42 and 3,884.76

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Solution

The fourth proportional to 6,241.56, 8,619.42 and 3,884.76 is: 5,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.56 : 8,619.42 = 3,884.76 : x
  2. Step 2: Convert to fraction form
    6,241.56/8,619.42 = 3,884.76/x
  3. Step 3: Cross multiply
    6,241.56x = 8,619.42 × 3,884.76
  4. Step 4: Simplify right side
    6,241.56x = 33,484,378.04
  5. Step 5: Solve for x
    x = 33,484,378.04/6,241.56
  6. Step 6: Final answer
    x = 5,364.75

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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.