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Finding the Fourth Proportional to 3,353.69, 5,029.98 and 1,161.90

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Solution

The fourth proportional to 3,353.69, 5,029.98 and 1,161.90 is: 1,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.69 : 5,029.98 = 1,161.90 : x
  2. Step 2: Convert to fraction form
    3,353.69/5,029.98 = 1,161.90/x
  3. Step 3: Cross multiply
    3,353.69x = 5,029.98 × 1,161.90
  4. Step 4: Simplify right side
    3,353.69x = 5,844,333.76
  5. Step 5: Solve for x
    x = 5,844,333.76/3,353.69
  6. Step 6: Final answer
    x = 1,742.66

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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.