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Finding the Fourth Proportional to 4,553.37, 6,829.82 and 1,266.49

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Solution

The fourth proportional to 4,553.37, 6,829.82 and 1,266.49 is: 1,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.37 : 6,829.82 = 1,266.49 : x
  2. Step 2: Convert to fraction form
    4,553.37/6,829.82 = 1,266.49/x
  3. Step 3: Cross multiply
    4,553.37x = 6,829.82 × 1,266.49
  4. Step 4: Simplify right side
    4,553.37x = 8,649,898.73
  5. Step 5: Solve for x
    x = 8,649,898.73/4,553.37
  6. Step 6: Final answer
    x = 1,899.67

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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.