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Finding the Fourth Proportional to 5,713.89, 8,563.05 and 3,493.50

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Solution

The fourth proportional to 5,713.89, 8,563.05 and 3,493.50 is: 5,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.89 : 8,563.05 = 3,493.50 : x
  2. Step 2: Convert to fraction form
    5,713.89/8,563.05 = 3,493.50/x
  3. Step 3: Cross multiply
    5,713.89x = 8,563.05 × 3,493.50
  4. Step 4: Simplify right side
    5,713.89x = 29,915,015.18
  5. Step 5: Solve for x
    x = 29,915,015.18/5,713.89
  6. Step 6: Final answer
    x = 5,235.49

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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.