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Finding the Fourth Proportional to 3,866.74, 5,787.15 and 3,173.38

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Solution

The fourth proportional to 3,866.74, 5,787.15 and 3,173.38 is: 4,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.74 : 5,787.15 = 3,173.38 : x
  2. Step 2: Convert to fraction form
    3,866.74/5,787.15 = 3,173.38/x
  3. Step 3: Cross multiply
    3,866.74x = 5,787.15 × 3,173.38
  4. Step 4: Simplify right side
    3,866.74x = 18,364,826.07
  5. Step 5: Solve for x
    x = 18,364,826.07/3,866.74
  6. Step 6: Final answer
    x = 4,749.43

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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.