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Finding the Fourth Proportional to 3,441.75, 4,751.83 and 2,366.82

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Solution

The fourth proportional to 3,441.75, 4,751.83 and 2,366.82 is: 3,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.75 : 4,751.83 = 2,366.82 : x
  2. Step 2: Convert to fraction form
    3,441.75/4,751.83 = 2,366.82/x
  3. Step 3: Cross multiply
    3,441.75x = 4,751.83 × 2,366.82
  4. Step 4: Simplify right side
    3,441.75x = 11,246,711.42
  5. Step 5: Solve for x
    x = 11,246,711.42/3,441.75
  6. Step 6: Final answer
    x = 3,267.73

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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.