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Finding the Fourth Proportional to 3,353.67, 5,026.55 and 1,161.20

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Solution

The fourth proportional to 3,353.67, 5,026.55 and 1,161.20 is: 1,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.67 : 5,026.55 = 1,161.20 : x
  2. Step 2: Convert to fraction form
    3,353.67/5,026.55 = 1,161.20/x
  3. Step 3: Cross multiply
    3,353.67x = 5,026.55 × 1,161.20
  4. Step 4: Simplify right side
    3,353.67x = 5,836,798.92
  5. Step 5: Solve for x
    x = 5,836,798.92/3,353.67
  6. Step 6: Final answer
    x = 1,740.42

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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.