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Finding the Fourth Proportional to 3,912.37, 5,866.70 and 2,269.42

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Solution

The fourth proportional to 3,912.37, 5,866.70 and 2,269.42 is: 3,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.37 : 5,866.70 = 2,269.42 : x
  2. Step 2: Convert to fraction form
    3,912.37/5,866.70 = 2,269.42/x
  3. Step 3: Cross multiply
    3,912.37x = 5,866.70 × 2,269.42
  4. Step 4: Simplify right side
    3,912.37x = 13,313,980.30
  5. Step 5: Solve for x
    x = 13,313,980.30/3,912.37
  6. Step 6: Final answer
    x = 3,403.05

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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.