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Finding the Fourth Proportional to 5,563.98, 8,351.82 and 5,438.46

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Solution

The fourth proportional to 5,563.98, 8,351.82 and 5,438.46 is: 8,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.98 : 8,351.82 = 5,438.46 : x
  2. Step 2: Convert to fraction form
    5,563.98/8,351.82 = 5,438.46/x
  3. Step 3: Cross multiply
    5,563.98x = 8,351.82 × 5,438.46
  4. Step 4: Simplify right side
    5,563.98x = 45,421,039.00
  5. Step 5: Solve for x
    x = 45,421,039.00/5,563.98
  6. Step 6: Final answer
    x = 8,163.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.