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Finding the Fourth Proportional to 4,631.77, 6,939.56 and 3,856.75

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Solution

The fourth proportional to 4,631.77, 6,939.56 and 3,856.75 is: 5,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.77 : 6,939.56 = 3,856.75 : x
  2. Step 2: Convert to fraction form
    4,631.77/6,939.56 = 3,856.75/x
  3. Step 3: Cross multiply
    4,631.77x = 6,939.56 × 3,856.75
  4. Step 4: Simplify right side
    4,631.77x = 26,764,148.03
  5. Step 5: Solve for x
    x = 26,764,148.03/4,631.77
  6. Step 6: Final answer
    x = 5,778.38

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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.