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Finding the Fourth Proportional to 5,006.97, 6,912.36 and 3,018

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Solution

The fourth proportional to 5,006.97, 6,912.36 and 3,018 is: 4,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.97 : 6,912.36 = 3,018 : x
  2. Step 2: Convert to fraction form
    5,006.97/6,912.36 = 3,018/x
  3. Step 3: Cross multiply
    5,006.97x = 6,912.36 × 3,018
  4. Step 4: Simplify right side
    5,006.97x = 20,861,502.48
  5. Step 5: Solve for x
    x = 20,861,502.48/5,006.97
  6. Step 6: Final answer
    x = 4,166.49

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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.