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Finding the Fourth Proportional to 3,221.33, 4,832.74 and 1,000.05

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Solution

The fourth proportional to 3,221.33, 4,832.74 and 1,000.05 is: 1,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.33 : 4,832.74 = 1,000.05 : x
  2. Step 2: Convert to fraction form
    3,221.33/4,832.74 = 1,000.05/x
  3. Step 3: Cross multiply
    3,221.33x = 4,832.74 × 1,000.05
  4. Step 4: Simplify right side
    3,221.33x = 4,832,961.95
  5. Step 5: Solve for x
    x = 4,832,961.95/3,221.33
  6. Step 6: Final answer
    x = 1,500.30

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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.