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Finding the Fourth Proportional to 4,250.92, 5,864.62 and 3,134.50

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Solution

The fourth proportional to 4,250.92, 5,864.62 and 3,134.50 is: 4,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250.92 : 5,864.62 = 3,134.50 : x
  2. Step 2: Convert to fraction form
    4,250.92/5,864.62 = 3,134.50/x
  3. Step 3: Cross multiply
    4,250.92x = 5,864.62 × 3,134.50
  4. Step 4: Simplify right side
    4,250.92x = 18,382,651.39
  5. Step 5: Solve for x
    x = 18,382,651.39/4,250.92
  6. Step 6: Final answer
    x = 4,324.39

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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.