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Finding the Fourth Proportional to 6,310.65, 8,709.35 and 3,793.58

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Solution

The fourth proportional to 6,310.65, 8,709.35 and 3,793.58 is: 5,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.65 : 8,709.35 = 3,793.58 : x
  2. Step 2: Convert to fraction form
    6,310.65/8,709.35 = 3,793.58/x
  3. Step 3: Cross multiply
    6,310.65x = 8,709.35 × 3,793.58
  4. Step 4: Simplify right side
    6,310.65x = 33,039,553.46
  5. Step 5: Solve for x
    x = 33,039,553.46/6,310.65
  6. Step 6: Final answer
    x = 5,235.52

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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.