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Finding the Fourth Proportional to 4,662.72, 7,007.90 and 4,318.97

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Solution

The fourth proportional to 4,662.72, 7,007.90 and 4,318.97 is: 6,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.72 : 7,007.90 = 4,318.97 : x
  2. Step 2: Convert to fraction form
    4,662.72/7,007.90 = 4,318.97/x
  3. Step 3: Cross multiply
    4,662.72x = 7,007.90 × 4,318.97
  4. Step 4: Simplify right side
    4,662.72x = 30,266,853.23
  5. Step 5: Solve for x
    x = 30,266,853.23/4,662.72
  6. Step 6: Final answer
    x = 6,491.24

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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.