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Finding the Fourth Proportional to 3,766.63, 5,645.22 and 1,918.21

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Solution

The fourth proportional to 3,766.63, 5,645.22 and 1,918.21 is: 2,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.63 : 5,645.22 = 1,918.21 : x
  2. Step 2: Convert to fraction form
    3,766.63/5,645.22 = 1,918.21/x
  3. Step 3: Cross multiply
    3,766.63x = 5,645.22 × 1,918.21
  4. Step 4: Simplify right side
    3,766.63x = 10,828,717.46
  5. Step 5: Solve for x
    x = 10,828,717.46/3,766.63
  6. Step 6: Final answer
    x = 2,874.91

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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.