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Finding the Fourth Proportional to 4,834.28, 6,671.92 and 2,738.40

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Solution

The fourth proportional to 4,834.28, 6,671.92 and 2,738.40 is: 3,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.28 : 6,671.92 = 2,738.40 : x
  2. Step 2: Convert to fraction form
    4,834.28/6,671.92 = 2,738.40/x
  3. Step 3: Cross multiply
    4,834.28x = 6,671.92 × 2,738.40
  4. Step 4: Simplify right side
    4,834.28x = 18,270,385.73
  5. Step 5: Solve for x
    x = 18,270,385.73/4,834.28
  6. Step 6: Final answer
    x = 3,779.34

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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.