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Finding the Fourth Proportional to 5,151.92, 7,723.23 and 1,864.26

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Solution

The fourth proportional to 5,151.92, 7,723.23 and 1,864.26 is: 2,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.92 : 7,723.23 = 1,864.26 : x
  2. Step 2: Convert to fraction form
    5,151.92/7,723.23 = 1,864.26/x
  3. Step 3: Cross multiply
    5,151.92x = 7,723.23 × 1,864.26
  4. Step 4: Simplify right side
    5,151.92x = 14,398,108.76
  5. Step 5: Solve for x
    x = 14,398,108.76/5,151.92
  6. Step 6: Final answer
    x = 2,794.71

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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.