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Finding the Fourth Proportional to 3,793.16, 5,239.67 and 3,439.48

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Solution

The fourth proportional to 3,793.16, 5,239.67 and 3,439.48 is: 4,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.16 : 5,239.67 = 3,439.48 : x
  2. Step 2: Convert to fraction form
    3,793.16/5,239.67 = 3,439.48/x
  3. Step 3: Cross multiply
    3,793.16x = 5,239.67 × 3,439.48
  4. Step 4: Simplify right side
    3,793.16x = 18,021,740.17
  5. Step 5: Solve for x
    x = 18,021,740.17/3,793.16
  6. Step 6: Final answer
    x = 4,751.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.