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Finding the Fourth Proportional to 4,751.82, 7,123.41 and 3,286.26

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Solution

The fourth proportional to 4,751.82, 7,123.41 and 3,286.26 is: 4,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.82 : 7,123.41 = 3,286.26 : x
  2. Step 2: Convert to fraction form
    4,751.82/7,123.41 = 3,286.26/x
  3. Step 3: Cross multiply
    4,751.82x = 7,123.41 × 3,286.26
  4. Step 4: Simplify right side
    4,751.82x = 23,409,377.35
  5. Step 5: Solve for x
    x = 23,409,377.35/4,751.82
  6. Step 6: Final answer
    x = 4,926.40

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