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Finding the Fourth Proportional to 4,909.75, 6,775.46 and 2,815.09

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Solution

The fourth proportional to 4,909.75, 6,775.46 and 2,815.09 is: 3,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.75 : 6,775.46 = 2,815.09 : x
  2. Step 2: Convert to fraction form
    4,909.75/6,775.46 = 2,815.09/x
  3. Step 3: Cross multiply
    4,909.75x = 6,775.46 × 2,815.09
  4. Step 4: Simplify right side
    4,909.75x = 19,073,529.69
  5. Step 5: Solve for x
    x = 19,073,529.69/4,909.75
  6. Step 6: Final answer
    x = 3,884.83

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