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Finding the Fourth Proportional to 3,471.54, 5,205.60 and 1,161.42

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Solution

The fourth proportional to 3,471.54, 5,205.60 and 1,161.42 is: 1,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.54 : 5,205.60 = 1,161.42 : x
  2. Step 2: Convert to fraction form
    3,471.54/5,205.60 = 1,161.42/x
  3. Step 3: Cross multiply
    3,471.54x = 5,205.60 × 1,161.42
  4. Step 4: Simplify right side
    3,471.54x = 6,045,887.95
  5. Step 5: Solve for x
    x = 6,045,887.95/3,471.54
  6. Step 6: Final answer
    x = 1,741.56

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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.