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Finding the Fourth Proportional to 3,561.66, 5,342.34 and 1,096.73

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Solution

The fourth proportional to 3,561.66, 5,342.34 and 1,096.73 is: 1,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.66 : 5,342.34 = 1,096.73 : x
  2. Step 2: Convert to fraction form
    3,561.66/5,342.34 = 1,096.73/x
  3. Step 3: Cross multiply
    3,561.66x = 5,342.34 × 1,096.73
  4. Step 4: Simplify right side
    3,561.66x = 5,859,104.55
  5. Step 5: Solve for x
    x = 5,859,104.55/3,561.66
  6. Step 6: Final answer
    x = 1,645.05

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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.