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Finding the Fourth Proportional to 3,434.77, 4,734.81 and 2,687.43

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Solution

The fourth proportional to 3,434.77, 4,734.81 and 2,687.43 is: 3,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.77 : 4,734.81 = 2,687.43 : x
  2. Step 2: Convert to fraction form
    3,434.77/4,734.81 = 2,687.43/x
  3. Step 3: Cross multiply
    3,434.77x = 4,734.81 × 2,687.43
  4. Step 4: Simplify right side
    3,434.77x = 12,724,480.52
  5. Step 5: Solve for x
    x = 12,724,480.52/3,434.77
  6. Step 6: Final answer
    x = 3,704.61

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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.