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Finding the Fourth Proportional to 3,183.54, 4,776.12 and 1,235.09

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Solution

The fourth proportional to 3,183.54, 4,776.12 and 1,235.09 is: 1,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.54 : 4,776.12 = 1,235.09 : x
  2. Step 2: Convert to fraction form
    3,183.54/4,776.12 = 1,235.09/x
  3. Step 3: Cross multiply
    3,183.54x = 4,776.12 × 1,235.09
  4. Step 4: Simplify right side
    3,183.54x = 5,898,914.17
  5. Step 5: Solve for x
    x = 5,898,914.17/3,183.54
  6. Step 6: Final answer
    x = 1,852.94

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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.