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Finding the Fourth Proportional to 3,434, 4,737.82 and 2,107.04

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Solution

The fourth proportional to 3,434, 4,737.82 and 2,107.04 is: 2,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434 : 4,737.82 = 2,107.04 : x
  2. Step 2: Convert to fraction form
    3,434/4,737.82 = 2,107.04/x
  3. Step 3: Cross multiply
    3,434x = 4,737.82 × 2,107.04
  4. Step 4: Simplify right side
    3,434x = 9,982,776.25
  5. Step 5: Solve for x
    x = 9,982,776.25/3,434
  6. Step 6: Final answer
    x = 2,907.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.