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Finding the Fourth Proportional to 4,631.28, 6,942 and 2,164.02

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Solution

The fourth proportional to 4,631.28, 6,942 and 2,164.02 is: 3,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.28 : 6,942 = 2,164.02 : x
  2. Step 2: Convert to fraction form
    4,631.28/6,942 = 2,164.02/x
  3. Step 3: Cross multiply
    4,631.28x = 6,942 × 2,164.02
  4. Step 4: Simplify right side
    4,631.28x = 15,022,626.84
  5. Step 5: Solve for x
    x = 15,022,626.84/4,631.28
  6. Step 6: Final answer
    x = 3,243.73

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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.