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Finding the Fourth Proportional to 3,579.24, 4,939.02 and 2,007

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Solution

The fourth proportional to 3,579.24, 4,939.02 and 2,007 is: 2,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.24 : 4,939.02 = 2,007 : x
  2. Step 2: Convert to fraction form
    3,579.24/4,939.02 = 2,007/x
  3. Step 3: Cross multiply
    3,579.24x = 4,939.02 × 2,007
  4. Step 4: Simplify right side
    3,579.24x = 9,912,613.14
  5. Step 5: Solve for x
    x = 9,912,613.14/3,579.24
  6. Step 6: Final answer
    x = 2,769.47

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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.