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Finding the Fourth Proportional to 3,402.04, 4,694.86 and 2,004.78

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Solution

The fourth proportional to 3,402.04, 4,694.86 and 2,004.78 is: 2,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.04 : 4,694.86 = 2,004.78 : x
  2. Step 2: Convert to fraction form
    3,402.04/4,694.86 = 2,004.78/x
  3. Step 3: Cross multiply
    3,402.04x = 4,694.86 × 2,004.78
  4. Step 4: Simplify right side
    3,402.04x = 9,412,161.43
  5. Step 5: Solve for x
    x = 9,412,161.43/3,402.04
  6. Step 6: Final answer
    x = 2,766.62

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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.