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Finding the Fourth Proportional to 3,850.57, 5,313.79 and 2,256.90

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Solution

The fourth proportional to 3,850.57, 5,313.79 and 2,256.90 is: 3,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.57 : 5,313.79 = 2,256.90 : x
  2. Step 2: Convert to fraction form
    3,850.57/5,313.79 = 2,256.90/x
  3. Step 3: Cross multiply
    3,850.57x = 5,313.79 × 2,256.90
  4. Step 4: Simplify right side
    3,850.57x = 11,992,692.65
  5. Step 5: Solve for x
    x = 11,992,692.65/3,850.57
  6. Step 6: Final answer
    x = 3,114.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.