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Finding the Fourth Proportional to 5,876.49, 8,814.83 and 2,754.78

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Solution

The fourth proportional to 5,876.49, 8,814.83 and 2,754.78 is: 4,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.49 : 8,814.83 = 2,754.78 : x
  2. Step 2: Convert to fraction form
    5,876.49/8,814.83 = 2,754.78/x
  3. Step 3: Cross multiply
    5,876.49x = 8,814.83 × 2,754.78
  4. Step 4: Simplify right side
    5,876.49x = 24,282,917.39
  5. Step 5: Solve for x
    x = 24,282,917.39/5,876.49
  6. Step 6: Final answer
    x = 4,132.21

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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.