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Finding the Fourth Proportional to 3,241.48, 4,856.64 and 2,552.56

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Solution

The fourth proportional to 3,241.48, 4,856.64 and 2,552.56 is: 3,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.48 : 4,856.64 = 2,552.56 : x
  2. Step 2: Convert to fraction form
    3,241.48/4,856.64 = 2,552.56/x
  3. Step 3: Cross multiply
    3,241.48x = 4,856.64 × 2,552.56
  4. Step 4: Simplify right side
    3,241.48x = 12,396,865.00
  5. Step 5: Solve for x
    x = 12,396,865.00/3,241.48
  6. Step 6: Final answer
    x = 3,824.45

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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.