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Finding the Fourth Proportional to 5,713.94, 8,571.99 and 3,869.30

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Solution

The fourth proportional to 5,713.94, 8,571.99 and 3,869.30 is: 5,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.94 : 8,571.99 = 3,869.30 : x
  2. Step 2: Convert to fraction form
    5,713.94/8,571.99 = 3,869.30/x
  3. Step 3: Cross multiply
    5,713.94x = 8,571.99 × 3,869.30
  4. Step 4: Simplify right side
    5,713.94x = 33,167,600.91
  5. Step 5: Solve for x
    x = 33,167,600.91/5,713.94
  6. Step 6: Final answer
    x = 5,804.68

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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.