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Finding the Fourth Proportional to 3,763.28, 5,638.65 and 2,662.17

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Solution

The fourth proportional to 3,763.28, 5,638.65 and 2,662.17 is: 3,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.28 : 5,638.65 = 2,662.17 : x
  2. Step 2: Convert to fraction form
    3,763.28/5,638.65 = 2,662.17/x
  3. Step 3: Cross multiply
    3,763.28x = 5,638.65 × 2,662.17
  4. Step 4: Simplify right side
    3,763.28x = 15,011,044.87
  5. Step 5: Solve for x
    x = 15,011,044.87/3,763.28
  6. Step 6: Final answer
    x = 3,988.82

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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.