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Finding the Fourth Proportional to 3,210.92, 4,817.84 and 1,747.88

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Solution

The fourth proportional to 3,210.92, 4,817.84 and 1,747.88 is: 2,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.92 : 4,817.84 = 1,747.88 : x
  2. Step 2: Convert to fraction form
    3,210.92/4,817.84 = 1,747.88/x
  3. Step 3: Cross multiply
    3,210.92x = 4,817.84 × 1,747.88
  4. Step 4: Simplify right side
    3,210.92x = 8,421,006.18
  5. Step 5: Solve for x
    x = 8,421,006.18/3,210.92
  6. Step 6: Final answer
    x = 2,622.61

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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.