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Finding the Fourth Proportional to 2,906.87, 4,022.02 and 2,534.61

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Solution

The fourth proportional to 2,906.87, 4,022.02 and 2,534.61 is: 3,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.87 : 4,022.02 = 2,534.61 : x
  2. Step 2: Convert to fraction form
    2,906.87/4,022.02 = 2,534.61/x
  3. Step 3: Cross multiply
    2,906.87x = 4,022.02 × 2,534.61
  4. Step 4: Simplify right side
    2,906.87x = 10,194,270.36
  5. Step 5: Solve for x
    x = 10,194,270.36/2,906.87
  6. Step 6: Final answer
    x = 3,506.96

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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.