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Finding the Fourth Proportional to 4,765.37, 6,572.09 and 3,768.92

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Solution

The fourth proportional to 4,765.37, 6,572.09 and 3,768.92 is: 5,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.37 : 6,572.09 = 3,768.92 : x
  2. Step 2: Convert to fraction form
    4,765.37/6,572.09 = 3,768.92/x
  3. Step 3: Cross multiply
    4,765.37x = 6,572.09 × 3,768.92
  4. Step 4: Simplify right side
    4,765.37x = 24,769,629.74
  5. Step 5: Solve for x
    x = 24,769,629.74/4,765.37
  6. Step 6: Final answer
    x = 5,197.85

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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.