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Finding the Fourth Proportional to 4,221.58, 6,331.82 and 1,299.82

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Solution

The fourth proportional to 4,221.58, 6,331.82 and 1,299.82 is: 1,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.58 : 6,331.82 = 1,299.82 : x
  2. Step 2: Convert to fraction form
    4,221.58/6,331.82 = 1,299.82/x
  3. Step 3: Cross multiply
    4,221.58x = 6,331.82 × 1,299.82
  4. Step 4: Simplify right side
    4,221.58x = 8,230,226.27
  5. Step 5: Solve for x
    x = 8,230,226.27/4,221.58
  6. Step 6: Final answer
    x = 1,949.56

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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.