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Finding the Fourth Proportional to 3,935.57, 5,902.38 and 1,161.50

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Solution

The fourth proportional to 3,935.57, 5,902.38 and 1,161.50 is: 1,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.57 : 5,902.38 = 1,161.50 : x
  2. Step 2: Convert to fraction form
    3,935.57/5,902.38 = 1,161.50/x
  3. Step 3: Cross multiply
    3,935.57x = 5,902.38 × 1,161.50
  4. Step 4: Simplify right side
    3,935.57x = 6,855,584.86
  5. Step 5: Solve for x
    x = 6,855,584.86/3,935.57
  6. Step 6: Final answer
    x = 1,741.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.