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Finding the Fourth Proportional to 3,826.84, 5,725.76 and 2,267.68

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Solution

The fourth proportional to 3,826.84, 5,725.76 and 2,267.68 is: 3,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.84 : 5,725.76 = 2,267.68 : x
  2. Step 2: Convert to fraction form
    3,826.84/5,725.76 = 2,267.68/x
  3. Step 3: Cross multiply
    3,826.84x = 5,725.76 × 2,267.68
  4. Step 4: Simplify right side
    3,826.84x = 12,984,191.44
  5. Step 5: Solve for x
    x = 12,984,191.44/3,826.84
  6. Step 6: Final answer
    x = 3,392.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.