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Finding the Fourth Proportional to 3,233.72, 4,847.85 and 1,287.29

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Solution

The fourth proportional to 3,233.72, 4,847.85 and 1,287.29 is: 1,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.72 : 4,847.85 = 1,287.29 : x
  2. Step 2: Convert to fraction form
    3,233.72/4,847.85 = 1,287.29/x
  3. Step 3: Cross multiply
    3,233.72x = 4,847.85 × 1,287.29
  4. Step 4: Simplify right side
    3,233.72x = 6,240,600.95
  5. Step 5: Solve for x
    x = 6,240,600.95/3,233.72
  6. Step 6: Final answer
    x = 1,929.85

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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.