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Finding the Fourth Proportional to 3,469.70, 4,787.81 and 2,053.43

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Solution

The fourth proportional to 3,469.70, 4,787.81 and 2,053.43 is: 2,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.70 : 4,787.81 = 2,053.43 : x
  2. Step 2: Convert to fraction form
    3,469.70/4,787.81 = 2,053.43/x
  3. Step 3: Cross multiply
    3,469.70x = 4,787.81 × 2,053.43
  4. Step 4: Simplify right side
    3,469.70x = 9,831,451.07
  5. Step 5: Solve for x
    x = 9,831,451.07/3,469.70
  6. Step 6: Final answer
    x = 2,833.51

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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.