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Finding the Fourth Proportional to 3,183.54, 4,776.72 and 1,235.89

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Solution

The fourth proportional to 3,183.54, 4,776.72 and 1,235.89 is: 1,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.54 : 4,776.72 = 1,235.89 : x
  2. Step 2: Convert to fraction form
    3,183.54/4,776.72 = 1,235.89/x
  3. Step 3: Cross multiply
    3,183.54x = 4,776.72 × 1,235.89
  4. Step 4: Simplify right side
    3,183.54x = 5,903,500.48
  5. Step 5: Solve for x
    x = 5,903,500.48/3,183.54
  6. Step 6: Final answer
    x = 1,854.38

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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.