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Finding the Fourth Proportional to 5,809.35, 8,713.97 and 1,914.03

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Solution

The fourth proportional to 5,809.35, 8,713.97 and 1,914.03 is: 2,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.35 : 8,713.97 = 1,914.03 : x
  2. Step 2: Convert to fraction form
    5,809.35/8,713.97 = 1,914.03/x
  3. Step 3: Cross multiply
    5,809.35x = 8,713.97 × 1,914.03
  4. Step 4: Simplify right side
    5,809.35x = 16,678,790.43
  5. Step 5: Solve for x
    x = 16,678,790.43/5,809.35
  6. Step 6: Final answer
    x = 2,871.03

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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.