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Finding the Fourth Proportional to 2,963.81, 4,087.73 and 2,765.09

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Solution

The fourth proportional to 2,963.81, 4,087.73 and 2,765.09 is: 3,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.81 : 4,087.73 = 2,765.09 : x
  2. Step 2: Convert to fraction form
    2,963.81/4,087.73 = 2,765.09/x
  3. Step 3: Cross multiply
    2,963.81x = 4,087.73 × 2,765.09
  4. Step 4: Simplify right side
    2,963.81x = 11,302,927.52
  5. Step 5: Solve for x
    x = 11,302,927.52/2,963.81
  6. Step 6: Final answer
    x = 3,813.65

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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.