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Finding the Fourth Proportional to 3,353.81, 5,029.03 and 1,161.95

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Solution

The fourth proportional to 3,353.81, 5,029.03 and 1,161.95 is: 1,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.81 : 5,029.03 = 1,161.95 : x
  2. Step 2: Convert to fraction form
    3,353.81/5,029.03 = 1,161.95/x
  3. Step 3: Cross multiply
    3,353.81x = 5,029.03 × 1,161.95
  4. Step 4: Simplify right side
    3,353.81x = 5,843,481.41
  5. Step 5: Solve for x
    x = 5,843,481.41/3,353.81
  6. Step 6: Final answer
    x = 1,742.34

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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.