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Finding the Fourth Proportional to 3,840.57, 5,765.72 and 3,267.09

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Solution

The fourth proportional to 3,840.57, 5,765.72 and 3,267.09 is: 4,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.57 : 5,765.72 = 3,267.09 : x
  2. Step 2: Convert to fraction form
    3,840.57/5,765.72 = 3,267.09/x
  3. Step 3: Cross multiply
    3,840.57x = 5,765.72 × 3,267.09
  4. Step 4: Simplify right side
    3,840.57x = 18,837,109.82
  5. Step 5: Solve for x
    x = 18,837,109.82/3,840.57
  6. Step 6: Final answer
    x = 4,904.77

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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.