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Finding the Fourth Proportional to 3,981.56, 5,493.66 and 2,409.64

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Solution

The fourth proportional to 3,981.56, 5,493.66 and 2,409.64 is: 3,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.56 : 5,493.66 = 2,409.64 : x
  2. Step 2: Convert to fraction form
    3,981.56/5,493.66 = 2,409.64/x
  3. Step 3: Cross multiply
    3,981.56x = 5,493.66 × 2,409.64
  4. Step 4: Simplify right side
    3,981.56x = 13,237,742.88
  5. Step 5: Solve for x
    x = 13,237,742.88/3,981.56
  6. Step 6: Final answer
    x = 3,324.76

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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.